What does a socially progressive Mormon look like, in all seriousness? Were you part of the prop 8 money machine?
I can't speak for all socially progressive Mormons, but I think I'm pretty standard as far a progressive ideology goes. I'm generally pro-choice, I don't live in California but I was not a fan of Prop 8 and I would have voted against it if I had the chance, I support reasonable restrictions on guns, I am a staunch feminist, I support a less restrictive immigration policy, etc. There is a sizable minority of American Mormons who are similar to me in this regard.
I think it's important for non-Mormons to recognize that, despite the monolithic appearance our church sometimes projects, we are a very diverse group of people. More than half of the members of the church live outside the US, and of those the vast majority would differ greatly from the general political ideology of the US membership. It just happens that most Mormons in the US are conservatives. Even in the US, however, there is a lot of variation. The ideology of church members in Utah is definitely more conservative than the ideology of members in DC or New York.
BYU Law reflects the general conservatism of US Mormons, but liberals like myself are free to have, hold, and discuss our views. We have one of the founding chapters of the American Constitution Society on campus, and we have an active and popular College Democrats club. We might not be Berkley, but that doesn't mean we're universally Glenn Beck fans.