I would say AZCOM is the perfect definition of a moderate school. About 40% of our class comprises of Mormon students but then we have a fair number of gay/lesbian students and faculty. At AZCOM, you have the LDS club and the Rainbow club. AZCOM is definitely not a liberal school but it is more liberal than many DO schools.
I can't speak on behalf of Mormons in general but the Mormon population at AZCOM do not push their religious views in any manner possible. They are religious but show respect and tolerance toward those of other faiths. Although I'm liberal, I have grown to respect and love many of my Mormon classmates.
The only time you feel the conservative element at AZCOM is when you are trying to sponsor alcohol related events on the school campus or when you are organizing post-exam partying groups. At most medical schools, it's a given that most of the class will partake in these parties but at AZCOM only a small number students will go out drinking after exams.
TUCOM, COMP, NYCOM, NECOM, MSU, CCOM, and Nova are the only DO schools that I would qualify as being liberal. Most of the others are conservative. AZCOM and maybe OUCOM are the only schools you could qualify as truly being moderate.