Duke has some admittedly questionable rules on suppressing free expression. But by and large we do pretty well. (I would credit our Provost, Peter Lange. He has very solid common sense on what a university is supposed to be, and he actually likes the idea of free expression and due process. May other universities have such academic officials, 'cause there aren't enough like Dr. Lange. If you have forgotten, check this video, starting at about 1:05. Peter faced a mob, alone.).
UNC on the other hand.... Well, UNC sucks. I say that as a UNC fan, as someone whose older son (the EYM) is graduating from UNC. UNC, stop it. What are you afraid of?