Greetings! I think it depends on whether or not they take government funds for their school. If they don't, then they most likely will exclude you because of your catholic training. If they do, you have a good chance to take them to court and have a judge rip open their door for you.
My question to you is why would you want to go to a school who is going to mock you, hate you and haze you?
Your college experience should be much more pleasant than that.
Hope that helps.