Sorry for the late entry here...
I had mentioned in a different thread that I thought the Federation was hyper-liberal. Indeed, it seemed like TNG gave every indication that the Federation was some kind of liberal paradise. And it seems like the global trend, apart from some notable exceptions such as Russia, is a move leftwards.
There are most definitely conservative fans. Do I think there are die-hard ultra-right fans, no. Although there's nothing wrong with die-hards, it doesn't seem like the Trek universe has space for them. This forum certainly does, but I doubt the exist in-universe.
Plenty of people on this thread have identified them as conservative, so this thread must have a place for them. I am a Louisiana conservative, anti-Obamacare, pro-guns, pro-choice, pro-LGBT. I love Trek...