People still think the U is Miami. No one is denying Utah has been the more successful program for the last decade. However, even with that Utah is a weaker sports program all the way around. BYU is better in every sport with the exception of women's gymnastics.
Now that we are in the same conference let's see how the next decade goes. No one is denying you have a a great program and a great coach but as a brand? Come on. Not to mention your fan base is a fraction of what BYU's is, even with you being the better program for the last decade.