Probably not a bad idea to ask on this forum for LDS students who may have had experiences in this area.
But my coworkers, co-interviewees in this process, and fellow students at the various institutions I've attended do not know my religious beliefs or lack thereof. I feel that this is personal, separate from my professional life, and does not have a place in the professional world; I would suggest being careful, and to NOT bring this up in an interview; legally it cannot even be asked as it is a discriminatory type question.
Bringing this up would be kind of like saying "I love Obama!!". 1/2 the people who hear this will agree, 1/2 will disagree, sharing this type of information can hurt you if you happen to interview with someone who has personal biases against your beliefs.
I'd think that in general there'd not be problems with "fitting in" to a med school class, as students generally will have diverse geographic, religious, educational, and experiential backgrounds.