Take it from a guy that grew up back East, if there are really whitetails in Utah it is because the whitetails want to be there. I doubt anyone helped them get there. They are like illegal aliens, you wake up one day and there are 12 of them living in a space big enough for 3 and you can't get rid of them no matter how hard you try.
A mature whitetail is 3 times as smart as a muley. He doesn't mind living in your backyard eating your grass and rosebushes, his offspring will be twins and triplets, he will watch muleys die of winter kill while he lives behind the 7-11 on main street and he will be here long after we are gone. I like to analogize them to roaches after a nuclear holocaust or bums on the freeway exit. Whitetails are like marines, they will adapt and over come! Not trying to step on the muley lovers (myself being one of them) but whitetails will displace muleys.
If whitetails are really in Utah, get used to them because they are not going anywhere even if you put a wide open season or bounty on them. You might decrease there numbers but they will always be there.