Besides redefining terms (e.g. racism as power + prejudice) to crack down on political views they disagree with while promoting their own venom, one way liberals censor while pretending to take the moral high ground is selective blindness:
Feminist: teach men not to rape! men are pigs and that's all they are! the male is a domestic animal! man-hating is an honorable and viable political act!
Normal woman: *bliss*
Normal man: *worry*
Feminist: put men in concentration camps! every man is schrodinger's rapist! #KILLALLMEN! castration day! reduce male population to the 10%!
Normal woman: *bliss*
Normal man: *annoyance*
Feminist: we need stronger laws to punish men! men should be considered guilty until proven innocent! too many men in the same field breeds sexism! masculinity equals aggression!
Normal woman: *worry*
Normal man: okay, that's enough! I've had it with your sexist bullshit, you...!
Normal man:*blindsided*
Feminist: *smug*
Another way this plays out is when someone on a Facebook group posts bait (or similar anti-white, anti-male etc) nonsense, and those who denounce it are then warned, muted or banned for being racist, sexist etc - while the original poster (and those of similar sentiments) get away with not even a warning