Would a matriarchal society be more better and more peaceful than a patriarchal society?

Good question. I think everyone regardless of gender is as fallible as the next.

One thing that always strikes me as interesting is when I read "God Emperor of Dune" and he says he made his army all women because they were not as likely to rape in war. And that thought has stuck with me. What if he's right? Maybe men should not be soldiers. Women should be.