OK. Let me put it this way. Peterson decries the rights agenda and the railing against patriarchy, partly with the argument that Western society is the least partiarchal and the most free there has ever been. But he never asks himself why this is so, because the answer of course is that those freedoms have been won by people in the past railing against oppression and proclaiming their own right to a place at the trough - workers, women, minorities. If there hadn't been those 'progressive' moves, for want of a better word, we would still have slavery, we would have less worker representation than we do (though we're heading the wrong way again), women would still be tied to the home, and so on. He doesn't patriarchy because he doesn't suffer from it, only benefits.
If you're into stuff like this, you can read the full review.