Baylor (Southern baptists) - women cant be pastors. so yes they exclude women from their clergy. I only attended one semester a years back but never had to say a prayer at the start of a course at BYU. Baylor is just starting to revise their anti-gay policies (2013 and 2015) so not to far ahead of BYU.

Sunday play is a non issue in the two key sports - BYU could look at fielding less teams if it needs to survive (indy wont last).

I agree that BYU likely wont get in but I dont agree that they are as drastically different as they are being made out to be. One of the major differences is that they have the ability to pull in more TV sets nationally than either of those two school.