I can't seem to find the video now but it described why we see patriarchies everywhere and nearly 0 true matriarchies.
Simply put, to know lineage without genetic testing men need to control their women, women do not. Since it isn't necessary for lineage women don't bother to control men in matriarchies. That leaves the men of their society the freedom to wander off and do something else rather than stick around a place where they are subservient and have no real rights. If they disliked the matriarchy enough to leave it they are going to switch up the rules at their new tribe 1 watering hole over.
I'm not arguing patriarchy is right. I am just dedicated to understanding the truth of the world around us. Patriarchy is more socially stable (in the sense of the way society is structured stays the same not necessarily the quality of stability inside that sodlciety) for some reason. Any plan to fix society in any way built on denial of basic facts like sexual dimorphism is doomed to fail.
What is disappointing is that digging up facts for maximal understanding of the reality of how we got here gets you kicked out of both camps. They want to win more than they want a better society.
As for violence, I absolutely believe that violence or the threat of violence is always looming in every human interaction. We are animals competing for scarce resources. Look at repeated prisoners dilemma, optimal algorithms cooperate until the opponent defects, then seek revenge, then return to cooperation after getting revenge. As an anarchist my complaint is that we outsource our violence to the government. It allows people to pretend that violence isn't there and they didn't demand it with their vote. Again, by denying the facts of the world around us we are making the world worse. Take away the distance and make people personally responsible for their violence in society and I think most would chicken out.