Indians in the U.S from my experience are much more open to interfaith discussions. For example, I like how Vivek tries to find common ground with Christianity using monotheism. This is a completely coherent position, as Hindu philosophies such as advaita say that God has many forms but ultimately there is only one true reality (Brahman).
The problem with Judeo Christianity, which Vivek is trying to find common ground with, is that it believes it is the only true religion. Vivek addressed this and talked about how he believes Christianity is one of the ways to attain salvation as opposed to being the only way, but this is fundamentally at odds with Judeo Christianity. This is also related to Judeo Christianity being pro Western, as it views all non Judeo Christians (mostly "non Whites") as "idolatrous heathens", and views "non Whites" as inferior unless they adopt Judeo Christianity (which involves implicitly recognizing the superiority of Western Civilization, which is why I view it as a "based" religion).
There is also the problem of creator worship (Yahweh). While Hinduism has a creator god (Brahma) he is given much less importance (and is in fact even portrayed as arrogant) compared to Brahman. This is where Gnostic Christianity comes in, but in order to promote Gnostic Christianity we must first acknowledge that Western "Christians" are simply not Christian.
Muslims in America don't exhibit this sort of exclusionist attitude, so it would be better off trying to build common ground with them. In fact, I think there is a good opportunity to build an alliance between Hindu conservatives and Muslim conservatives. For example, I saw the news of Muslim parents protesting "LGBT" books in schools. Of course, while parents shouldn't decide what their children are exposed to, I think this would be a good opportunity to raise awareness of the tyranny of the uniquely Western phenomenon that is compulsory education (which Vivek talked about, although he also framed it as "parents determine their children's education"). There is also the fact that Hindu conservatives and Muslim conservatives agree on things like abortion.
The only flaws with some Muslims is that they are exclusivist, as well as anthropocentric. For example, I have seen Muslims ridicule Hindu reverence towards cows, as well as call all Hindus "idolatrous Kafirs". There is also the fact that Muslim advocacy organizations in the United States are somewhat anti Hindu.