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refuses to use gender neutral pronouns for non-binary people.
In fairness, what I've seen him say is that he disagrees with being forced to by law (which they now have in Canada) and that he will use a person's preferred pronoun if they let him know that they would like it to be something particular but that usually you revert to assuming pronouns based on someone's appearance. So not that he refuses to do it but correct me if I'm wrong.
(He's still a cunt, I'm just playing devil's advocate)
PhilDAS-
Though, if i may defer to another reddit thread, i think his stance on the Canadian law (bill C-16) is a willful misinterpretation.
This seems to fit the narrative of not just Peterson, but other 'classical liberals', whereby they whip up a kind of free speech moral panic. They take these few and far between instances of angsty students saying something stupid and/or radical and extrapolate it into meaning 'western civilisation' as we know it is about to come crushing down and totalitarian SJWism is ruining everything that was once 'great' (quote marks as these are relative terms that mean different things to different folks).
hvsds
He has advocated for enforced monogamy, thinks women and men can't share a workplace, has said women who are sexually assaulted are hypocrites if they wear lipstick (a 'sexual signal') and refuses to use gender neutral pronouns for non-binary people.
Totally not sexist or transphobic though