Ok, I'm not anywhere close to a linguist. The only linguistics class I've ever taken was, strangely, an automata theory course.
But what I've read around linguistics lead me to believe that the field was mostly Chomskian theory with very little empirical evidence. But then, I've never been a real fan of Chomsky's work---sure, in that automata theory (and in other well-defined formal languages) it's great, but I don't see a good application to natural languages---and so I haven't actually tried to follow up on anything I've heard about it.
But what I've read around linguistics lead me to believe that the field was mostly Chomskian theory with very little empirical evidence. But then, I've never been a real fan of Chomsky's work---sure, in that automata theory (and in other well-defined formal languages) it's great, but I don't see a good application to natural languages---and so I haven't actually tried to follow up on anything I've heard about it.