Joining a group that's willing to scream "oppression!" at every convenient target is also living a life of pain. At least if you're sincere, they can only cancel you once.
There's a third option that is neither "publicly align myself with extremists" nor "publicly align myself with the grey area in between", and that is not to participate in the game at all.
Also, I've been on the receiving end of a mob before; "you can only get cancelled once" wasn't exactly true for me. Sure, the public figures who initially called you out will stop eventually -- they know when they've won the battle. But their followers? They're like that annoying kid at school who kept making the same joke long after it was ever considered funny. They'll happily continue harassing you until the end of time (or until you're able to make yourself disappear).