Even if this were true (a couple billion people would probably beg to differ), the First Amendment specifically protects the free exercise of religion. So any law that attempted to prevent religious-affiliated organizations from operating a university or school would be clearly unconstitutional.
Actually, I'm replying to someone else, not you.
> To put activism grounded in supernatural beliefs/prophets/sacred texts on privileged ground above other forms of activism makes little sense to me.
I can see that! But the Founders felt differently, and they're the ones who wrote the Bill of Rights that, for the most part, still reigns supreme. Unless you've got a workaround that I'm not thinking of (IAAL, FWIW), there's not much point dwelling on the question of whether religion is a type of activism. As I said above: even if it is, it's constitutionally protected.