My solution: absolutely avoid saying anything about gender, race etc. in public with name and face, but really in that 100% literal sense that even avoid saying things that generally support feminism or LGBT rights because even then someone could take offense about one word in a sentence you totally did not mean offensively and then Twitter can blow it out of all proportions.

This is not necessarily a 100% safe strategy forever - things could get to the point where simply ignoring the issues and not commenting on them could get dangerous, kinda like how not applauding the speech of a dictator can get so.

But currently a strictly no-comment policy seems to be safe enough.

Besides it being safe, if a lot of people who would otherwise be supportive decide to keep silent, it may lead to the moderates throwing out the crazies so that they regain that support.