What I think lends strength to Chomsky's theory is that is virtually, informally a corollary of computational complexity theory (grammars, P = NP, and related i

What I think lends strength to Chomsky's theory is that is virtually, informally a corollary of computational complexity theory (grammars, P = NP, and related ideas) which was a direct consequence of Alan Turing. So for the camp of linguists that disagree I do wonder what alternative theoretical foundation do they have.