There are some sororities, one at UCLA, that specifically say that they are a Christian house. Does this mean if you are agnostic, for example, that you can't join? No. But you have to be aware of this fact.
Many NPC chapters are historically Christian or Jewish. Please note: historical being the operative word. If there is Bible study or Torah study I hope that this is optional. And I imagine that if ritual included certain references that certain wording could be changed to: God, Allah, and/or Father/Son/Holy Spirit for those so inclined.
I can say that my daughter has not had a problem or a crisis of conscience in her house. We are on the west coast so things here could be different than in other parts of the country.
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