One of my professors in the Spanish department had taught at Cornell and a state university (possibly in Idaho). He said of the three universities he taught at, BYU gave him by far the most academic freedom. He said it wasn't even close. I was surprised, and he explained that the other schools are so worried about political correctness and lawsuits that they restrict their professors heavily.
He said BYU put a lot more trust in its professors to wisely choose what they taught. Granted this was 13 years ago, but I doubt it has changed that much, if at all.