If you dig deep enough, for far too many of them, this amounts to either taking away certain means of speech from people they disagree with, or exercising pressure through getting people fired, or through nasty allegations.
This is exactly the same sort of extra-legal thing which homophobic societies did to homosexuals. It's the same thing that used to happen to Jewish people, even in the 20th century in the US. It's the same thing that used to happen to Chinese in San Francisco, when they as good as let Chinatown burn down. It's underhanded stuff that happened to my immigrant parents. It's not that far removed from unsavory things that happened to me in locker rooms and on the street because of my perceived race or my perceived sexual orientation.
Forcing people to not speak through fear or through unconsented force isn't winning an argument. It's oppression through extra-legal means. It's using exactly the ugliness practiced by bigots of the past. It's what I find that far too many young people advocate, and strangely label as "virtuous." How is it, that people can be like this, then be surprised when there's no societal unity? Does that even make sense?
Principles aren't legalisms to be followed by the letter of the law. They should be reflected in the attitudes and manifestly practiced values of a truly virtuous society.