NYD another email from my friend. Asked them about the possibility of a religious carve out and the groups have already suggested that as an idea and has been at least informally rejected apparently. Here's what they emailed me:
"We actually submitted a request for a religious "carve out". (Other universities have done that - University of Florida being one). The U Admin response was that if they carved out an exception for us they would be guilty of discriminating and therefore violating their own policy. (They, of course, then proceeded to carve out an exception for the Greek system). "