Where people listen
I don't think you should abandon the relationship just because she is lds. Fifty years later, not one of her 3 children, her dozen grandchildren or her numerous great grandchildren is an active member of the LDS church. Again, I deeply love my dad, but these were things that I had to deal with. The brethren have taught that there is an ideal pattern for marriage.
Courses were developed especially for physicians by business health experts and experienced physicians. I never really thought about the sacrifices the wife of a doctor must make. Do you see yourself being with him for many years. Two very simple things that require so much effort and understanding. Don't put them through that either. Then again, I doubt any man who's not in medicine is willing to put up with the sacrifices of being a neurosurgeons husband. And don't get hung up on all the "lofty doc" stuff. You have been blessed with the equipment to make such decisions.