True Left

Could Golden Horde be a part that corrupted Islam and had others see Islamists as invaders?

Mohammed's teachings were already corrupted by the time the Uthmanic Koran was written centuries before the Golden Horde. But if you mean whether or not the Golden Horde contributed to further corruption, this would have to be answered case-by-case for individual powerful converts. But I would consider it likely that the infusion of Mongol bloodlines into Islamic societies would have increased their proportion of Turanian blood, and this could have facilitated subsequent popularization of bad habits in Islamic societies. Yet similar infusion of Mongol bloodlines would have occurred also in non-Islamic societies invaded by the Golden Horde, therefore I see no initial reason to assume that Islamic societies were more affected than others.

A good way to test the theory would be to compare Islamic societies in places that the Golden Horde never reached with Islamic societies in places invaded by the Golden Horde, as well as the corresponding non-Islamic societies.

The perception of Islamists as invaders is mostly due to the Carolingian cycle:

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

Originally, the Matter of France contained tales of war and martial valour, being focused on the conflict between the Franks and Saracens or Moors during the period of Charles Martel and Charlemagne. The Chanson de Roland, for example, is about the Battle of Roncevaux Pass during the Moorish invasion of southern France.