I think BYU has a shot at threading the needle: successfully training competent and confident physicians while not having to deal directly with the issues you mention. I could forsee a group of medical students someday protesting the BYU med school curriculum for being too conservative, but that would likely be the worst of it.
No teaching hospital and no residency makes it a different kind of medical school.
I think BYU has the infrastructure in place to get this thing rolling in just a couple of years.