why would a non-LDS HC want to come coach at BYU with the honor code and all? Take Dabo Swinney, a very strong christian. I am willing to bet that in all his years of recruiting, he has never had to tell a recruit, who most likely has been have sex for multiple years, that if he signs with his college, he has to be celibate for the next 4 years. You be asking a non-LDS coach to come to BYU and make his players do things he doesn't believe in, or see the purpose of, or feel it is any of his business.
Non-LDS coaches will no be beating down the door to coach at BYU and deal with an Honor Code they don't believe in or support.