I think you are wrong about Chomsky's theories being politically motivated. I don't have time right now to look up quotes but many years of debates with intellectuals on the left have made one thing very clear to me: The left hates talk of anything innate, particularly if it is even remotly connected to meaning.

I don't want to dumb this down because there are many different opinions on all sides of the political spectrum, but the left has a tendency to see everything as learned, learnable and socially induced - nurture not nature. Chomsky's theory is seen as a form of biological determinism. There are few things less popular on the left than that.