I'm not going to deny that there are some genuinely bad people in the gaming community, racists, homophobes, bigoted etc. men and women. But I also don't see this perceived threat that the op is about. To me it seems that some people are actively trying to find these elements everywhere, simply because they are so sure that it exists and in turn see it everywhere.
Videogames, like any media, has always been used to propagate all kinds of ideologies, there's nothing new in that. Yes, there are politically charged and racist videogames, but those are so niche that you would have to actively search for them in order to play them. Not to mention that they are anything but subtle with their message and anyone with a half a brain sees what their aim is. So hardly a recruitment tool there.
When it comes to community, I see what you mean but I disagree with the severity of it. The videogame community is big and consists of individuals, with different cultures, creeds and thoughts. This means there has never been an agreed upon set of rules for this community. You play videogames, you are part of the community, that is the only initiation. It means we are free to be who we are and unfortunately this also means that people are free (but not free of consequences) to be abusive and outright bad, but in the end, it always comes down to individuals. I have yet to see that there is any actual organization that actively propagate these evil ideas in the community, or if there is, it's small and insignificant. The kind of people those types of communities attract are pretty much douchebag edgelords to begin with. Most experiences I've had tell me that there are mostly good people in the community who would spot such bullshit a mile away.
And I do draw a distinction between an actual neonazi and some stupid kid yelling slurs in voice chat. The other implies hardlining political and ideological views while the other is just an idiot. Racist idiot perhaps, but just an idiot and is no threat to anyone.
Maybe I've just been lucky when it comes to gaming experiences, but I just don't see any cause for this alarmist attitude.