Be careful, Rand Paul (and general Libertarians) are not as socially liberal as they claim. Most have outspoken against equal rights, specifically for the LGBT community. Hate crimes against the LGBT community are seeing a rise, with recent murders in NYC Greenwich village and many other attacks. Some believe it is a backlash against the recent huge strides in equal rights across the nation. Either way, I don't view any one party as socially liberal. I am fiscally conservative and socially liberal, I base my views on the merits of each case and not towing any party line. I wish most Americans would turn off cable news, venture outside their homogeneous suburban enclaves and meet people of differing cultures, class, race, etc. It's one of the reasons coastal/global cities tend to be more liberal socially.
I am not a Libertarian, but your implication that Libertarians are in any way associated with hate crimes against members of the LGBT community is ridiculous.