As long as board of trustees or others that run these schools remain liberals themselves, it will not change. Just look at UT. Their BOT is getting more liberal and they have allowed events like Sex Week, going with gender-neutral pronounces, and other liberals causes. The governor is a Republican and his family has been huge donors to the school for years. But his hands are somewhat tied.
I think it's comical colleges and universities have always been proponents of free speech and thinking, but are quick to squash conservative speech and thinking these days.