True Left

"ethnotribalist sentiment should hold no weight in a Judaism correctly practiced"

I am not so sure:

https://en.wikipedia.org/wiki/Jews_as_the_chosen_people

In Judaism, "chosenness" is the belief that the Jews, via descent from the ancient Israelites, are the chosen people, i.e. selected to be in a covenant with God. The idea of the Israelites being chosen by God is found most directly in the Book of Deuteronomy[1] as the verb baḥar (בָּחַ֣ר (Hebrew)), and is alluded to elsewhere in the Hebrew Bible using other terms such as "holy people".[2]
...
According to Deuteronomy, when the Lord delivers the Israelites to the land, the other nations will be cast out, and "thou shalt make no covenant with them, nor show mercy unto them"[6] Deuteronomy 7:4-7:5,

"But thus shall ye deal with them; ye shall destroy their altars, and break down their images, and cut down their groves, and burn their graven images with fire. For thou art a holy people unto the Lord thy God: the Lord thy God hath chosen thee to be a special people unto himself, above all people that are upon the face of the earth".[7]

A similar passage exalting Israel as the chosen people follows prohibitions on baldness[8] and cutting yourself in mourning, "For thou art a holy people".[9]

The Torah also says,

"Now therefore, if you will obey my voice indeed, and keep my covenant, then you shall be a peculiar treasure unto me from all the peoples, for all the earth is mine."[10]

God promises that he will never exchange his people with any other:

"And I will establish My covenant between Me and you and your descendants after you in their generations, for an everlasting covenant, to be God to you and your descendants after you."[11]

Other Torah verses about chosenness,

"And you shall be unto me a kingdom of priests, and a holy nation"[12]

"The Lord did not set his love upon you, nor choose you, because you were more in number than any people; for you were the fewest of all people; but because the Lord loved you, and because he would keep the oath which he had sworn unto your ancestors."[13]

The main difference between Judaism and WN is that Judaism cares more about presence of Israelite blood among Jews whereas WNs care about absence of "non-white" blood among "whites". Judaism's acceptance of converts assumes that the converts will reproduce with the original (ie. Israelite-descended) Jews, thus the descendants of the converts will carry Israelite blood anyway.

"a gathering of all who resonate enough with Jewish doctrine to practice it."

And yet:

http://aryanism.net/blog/aryan-sanctuary/jewish-racism-vs-anti-jewish-anti-racism/

Pro-Jewish racism will certainly prefer Jews over non-Jews when both are perceived as similarly “white”, but at the same time is likely to prefer “white” non-Jews over even  Jews (or those who claim Jewishness) if the latter are perceived as “non-white”:

https://en.wikipedia.org/wiki/Igbo_Jews#Igbo_Jews_in_Israel

    the Igbo Jewish community is not recognized by the Israel’s Supreme Court or by any other Jewish religious group. Indeed, while they identify themselves as part of the worldwide Jewish community, they are still struggling to be recognized by other Jews.[17] Indeed, Igbo Jews asserts that they are connected to Judaism via their Jewish blood as they claim to be descendants of the ancient Israelites.[16] In S. Afsai article, an affiliate of the Gihon Hebrews’ Synagogue declares:[17] “We say we are Jews from blood. We are now excluded; we cannot go and participate as Jews in any place. I make an appeal that we be recognized, not excluded and isolated from other Jews.”

https://en.wikipedia.org/wiki/Racism_in_Israel#Intra-Jewish_racism:_Racism_between_Jews

    Some Jewish Israelis of European descent, known also as Ashkenazi Jews, have been described as viewing themselves as superior to non-Ashkenazi Jews. They are accused of maintaining an elite position in Israeli society,[150][151] with some describing the attitudes of Ashkenazim as racist or of being a manifestation of racism.[152]

    …

    Israeli society in general – and Ashkenazi Jews in particular – have been described as holding discriminatory attitudes towards Jews of Middle Eastern and North African descent, known as Mizrahi Jews, Sephardic Jews, and Oriental Jews.[162] A variety of Mizrahi critics of Israeli policy have cited “past ill-treatment, including the maabarot, the squalid tent cities into which Mizrahim were placed upon arrival in Israel; the humiliation of Moroccan and other Mizrahi Jews when Israeli immigration authorities shaved their heads and sprayed their bodies with the pesticide DDT

    …

    In the 1950s, 1,033[179] children of Yemenite immigrant families disappeared. In most instances, the parents claim that they were told their children were ill and required hospitalization. Upon later visiting the hospital, it is claimed that the parents were told that their children had died though no bodies were presented or graves which have later proven to be empty in many cases were shown to the parents. Those who believe the theory contend that the Israeli government as well as other organizations in Israel kidnapped the children and gave them for adoption. Secular Israeli Jews of European descent were accused of collaborating in the disappearance of babies of Yemeni Jews and anti-religious motives and anti-religious coercion were alleged.[180][181][182][183][184][185][186] Some went further to accuse the Israeli authorities of conspiring to kidnap the Yemeni children due to “racist” motives.[187]

    …

    there have been a series of reports in the Israeli press about alleged acts of police brutality against Ethiopian Israelis, with many in the community saying they are unfairly targeted and treated more harshly than other citizens

This is especially the case in the sphere of reproduction, when Jews frequently reproduce with “white” non-Jews with the offspring accepted as Jews and without systematic worry about polluting the Jewish gene pool, yet when it comes to “non-whites” (even if Jewish), all hell breaks loose:

    In 1962, authorities in Israel were accused by articles in the Indian press of racism in relation to Jews of Indian ancestry (called Bene Israel).[188][189] In the case that caused the controversy, the Chief Rabbi of Israel ruled that before registering a marriage between Indian Jews and Jews not belonging to that community, the registering rabbi should investigate the lineage of the Indian applicant for possible non-Jewish descent

    …

    In 2010, Israel was accused of a “sterilization policy” aimed towards Ethiopian Jews, for allowing the prescription of contraceptive drugs like Depo-Provera to the community.[202][203] They stated that the Israeli government deliberately gives female Ethiopian Jews long-lasting contraceptive drugs like Depo-Provera.[202]

    …

    Israel initially denied the claim of imposing a sterilization policy on the Ethiopian women,[202] but later admitted to it … 35 Ethiopian women who had immigrated to Israel said they had been told they would not be allowed into Israel unless they agreed to the shots.

So basically in Jewish eyes: “white” Jews > “white” non-Jews >> “non-white” Jews > “non-white” non-Jews.

So while Jews care about presence of Israelite blood, it turns out they - just like WNs - also care about absence of "non-white" blood! In terms of view of "non-white" blood, Jews and WNs are very similar: both regard "non-white" blood as contaminating. (Possibly Jews make an exception for "non-white" ethnicities with sufficiently high average IQ test scores, but then recently so do an increasing number of WNs.....)

"groups like the British Israelites and Christian Identity actually completely miss the point of Judaism, the ideology that they're trying to co-opt, by claiming that "white" people are the true Israelites and no one else"

I suspect when today's Jews imagine in their minds the ancient Israelites described in the Tanakh, they too visualize the Israelites to be "whites". The difference is that Jews believe that most "whites" (other than Jews themselves, who always knew their ancestry) are not descended from the Israelites, whereas CI believes that most "whites" are descended from Israelites though they may not know it. (I personally find the Jewish narrative more convincing, since it seems unlikely to me that those with Israelite ancestry would easily allow their descendants to forget it.)

"Judaism/Zionism is the logical conclusion of Turanism, and Turanism transcends ethnicity in the same way that Aryanism does."

However, Judaism makes a distinction between Israelites (descendants of Jacob) and Edomites (descendants of Esau), favouring the former despite both being Turanian. I think what is going on is that Judaism views Jacob as the racial emergence of a more intellectually advanced subtype of Turanian, and thus Judaism is about promoting this subtype in particular over the less advanced subtype. See also:

https://trueleft.createaforum.com/mythical-world/esau-and-jacob/

The Aryanist equivalent would be if we started looking for heritable Gnostics (since most Aryans are not heritable Gnostics, despite our lifestyle facilitating the emergence of such a subtype).

"if Judaism is the polar opposite of Aryanism"

Turanism is the polar opposite of Aryanism. Judaism is the polar opposite of Gnosticism.