You are explicitly mischaracterizing his arguments. Peterson has spent more time than you or I arguing about the pros and cons of patriarchal hierarchies. The fact that he is willing to admit to their merits and demerits is evidence that he is more open-minded, and arguing at a higher level of abstraction, than most people in the political debate.

Peterson opposed C-16 on genuine and extremely reasonable free-speech grounds. He was speaking as an individual that endorses the value of free speech. Hate speech laws obviously limit free speech, have a chilling effect on genuine debates, and can even hurt our ability to think straight.