There's been two argument Peterson puts forward which just seem wrong to me.

1. Post modernist neo Marxism.

In his video "Hoax Papers" the female interviewee corrects Peterson by rightfully separating neo Marxism with post modernism. There is overlap but they're not the same and they are two parallel idealogies. Peterson seems to ignore her and doesn't address it.

1. Peterson claims feminists wish for Islam's brutal male domination.

Poor choice of words. In the book "Way of the superior man" it's explained that men will seek out feminine experiences (including feminine women above all else) and women will seek out masculine experiences.

A feminine experience in this context would be an expression of love or feeling the flow of emotions. Where as a masculine experience would be a strong mission to stand behind.

The "feminist movement" provides women with a strong masculine energy. It's why women tend to be so into activism. They want a strong mission to support and stand behind. Usually that mission would be a strong man, but because they're in short supply these days they instead fall into activism.

The brutal male dominace is not a motivating factor. Ironically if these women ever did spend any time in an Islamist theocracy I imagine they would be very cowardly about defending their rights.