Now that I've RTFT ...
I see the parallels with Mao's China and the Red Guard, but agree this seems slightly different. There's more pseudo-religious thinking involved - gendered souls, etc. The Red Guard was a real collectivist movement (as violent and cruel as it was), whereas genderism seems to be more hyper-individualist. The end goals of the Red Guard was upholding the state - what is the end goal of genderism? Tearing down societal norms?
Although the Red Guard was foccused on destruction of the 'four olds', so maybe that is the common theme. Destruction and attack on the old order, 'revolution', etc. It's just genderism seems to be enacted more inwardly, with body modification, purification rituals, etc.