I think UU counts as a religious community. It is quite open and accepting but still based on religious tenets, at least ostensibly. And no, Catholics do not discourage atheists from attending. When it's time for communion they always state that its for Catholics only, I don't remember the exact words they use. But if you walk down there, no one is going to tackle you and drag you outside. Now, Scientologists? That's another matter entirely.
Why is it so?
~Julius Sumner Miller
~Julius Sumner Miller