I was called "left-wing" by some right-wing people, called "right-wing" by some left-wing people, and when a random Jehovah Wittness called me "an intolerant Catholic", I stopped caring anymore about how other people call me, because it simply doesn't make sense.

When someone calls you X, they usually mean that you are not as anti-X as them.

Signalling group loyalty, affective death spirals, et cetera. If you don't believe that your enemies eat little babies, you are probably one of them; QED. You can't have a rational debate with mindkilled people on internet. Maybe in a private debate a few of them would admit that you have a point, but in a group, someone will always seize the opportunity to signal group loyalty by accusing you of something.