Way I see it:
Very much like the music I listen to, the shows and movies I watch, and so forth; I play games because I want to have fun. I'm not making any kind of statement (political and/or otherwise), nor am I backing anything up. Not supporting nor denying or whatever the crap. I do these things because they entertain me, and I'm having fun, and these adhere to my standards of what is fun. I want to escape reality for a few moments, and this is my preferred means of doing so. Keep reality out of my games, unless it's a simulation game.
For example, because I listen to punk music and hip-hop and such, doesn't mean I'm a punk or thug or whatever; I just like good music, and according to my personal standards, this is good music to me, and I listen to it to enjoy my time. Because a game I play happens to have a character of alternate orientations (species, gender interests, etc.), doesn't mean I support, nor am curious. If anything, it's just background info about my character, in case the game has plenty of dialog, that can help immerse me into the story I'm playing through.
I can give less a crap about political correctness nowadays. In the past, during my more foolish, naive, and idealistic days, I was plenty supportive of it (kinda like how I felt about feminism and such too), mostly out of fairness. Then again, I was a primary target to all kinds of bullying, so you can see where my psychological bias originates from. Having grown past most of it, I'm noticing that the PC-culture has been overstepping all kinds of boundaries, and looking less like a game of fairness and balance/equality, and more like a game of boundaries and domination, like watching a game of Risk at a political level (Or Civilization, where developments and tactics occur). It's become less about balancing the odds and such where things are unjustly distributed, and becoming more of a soapbox for people to justify their douchebag behaviors, and imposing their ideals on everyone else. (Insert religion and other BS relevant to topic here; while sufficiently vague to remain as neutral as possible).
In summary, before I wall'o'text:
Just let us have fun. Once you start going all political and such, that's where everyone suffers, including those the source is fighting for (whether they actually need, or want it, or not). It's like a grudge-match of egos here when this crap turns up. My best response as a gamer to all this crap, in general, is "Shut up, and let me enjoy my gorram game.". As you can already tell, having been an observer of PC-culture and such for as long as I have; this has worn into me so much, I just completely stopped caring by this point (with the best of intentions in mind; plus, I don't need this stress).
EDIT:
Also, no matter what, there's always a 50-50 chance that someone will feel insulted or under-represented, or dis-enfranchised about something, somewhere down the line (like the Rule 34 of taking offence. It'll happen, no exceptions.); regardless content or context (that applies to all things). Knowing that, it helps ease that weight off my mind, and make not caring, in it's own way, a form of caring. Basically, it's inevitably bound to occur somehow and some way; if and when it occurs, don't worry too much about it. Or as I see it myself, if I can't affect the tides of anything, then don't let it, or a rogue wave (e.g.- TERRORISM), wash me away into the chaos of the Ocean of Bickering on the Great Ego Barrier Reef.
EDIT EDIT:
Meh, figured my statement would be double-edged. But I kinda figured I might as well say what plenty others with a similar thought process would be thinking, but not want to post. Ironic, yet surprising at times, how neutral parties tend to get a surprising amount of heat in all kinds of topics.
However, my statement is more like "I've done my part for long enough, and see no major tangible effect. I'm staying out of this until I'm in the mood to care again.". I have nothing really against others caring, just don't overdo it, is all I'm really saying; and the overdoing from most groups has burned me out. I'll return to caring someday, just not now. It's good to argue. It helps make progress, and better-understand the other party, but once it turns into a war, then it does the opposite.