@Cycloptichorn,
That question was actually brought up once or twice (I know it was on the second panel), but there were so many interruptions it was never explored in detail (I think the Establishment Clause was mentioned).
There are several settled cases (SCOTUS) that would appear (to a non-lawyer like me) to support the religious institutions' position, and there are just as many that would appear to support the administration's position. That's what makes it so interesting.
But, all of this legal talk may yet be premature since no final rule has been issued in writing (has it?) and it's still possible that the whole thing could go away if the president decides to accomodate his accomodation even further.
If that's the case, Dolan has indicated he
definitely wants it in writing this time lol.