You can have all the research, academics, wining and money that any conference would want but if your not woke enough, and the core beliefs of the institution can’t be controlled then your not even a candidate.
BYU is a candidate, probably the top candidate to football people. But football people don’t decide who gets into the club.
BYU will never be in the pac 12 and will likely never be in a P5 conference for that reason alone.