There are actually quite a few Republicans, such as Karl Rove, who are irate at the current administration for its attacks on free speech. But broadly speaking

There are actually quite a few Republicans, such as Karl Rove, who are irate at the current administration for its attacks on free speech. But broadly speaking, and this truly transcends partisan divisions, there are very many people whose commitment to free speech only extends insofar as they like the speech being protected. It is actually quite rare to find somebody who will advocate "I think the speech you are saying is reprehensible, but I will stake my life on defending the right for you to say it."