Cultures that value warriors tend to conquer their more peaceful neighbors because they are expansionistic. Warriors are guys. Now when you have some balance (the more successful Chinese dynasties, England, etc.) you have peace and prosperity. When you have extreme awfulness you have lots of war and not a lot of productivity (see Middle East).
Does the word men make you uncomfortable?
Tribal warfare is the special environmental pressure that drove humans to evolve intelligence, culture, and technology far beyond basic survival needs. Differences in IQ among populations can be traced back to the amount of organized warfare they faced and defeated. Japan had a violent tribal warfare past and it largely explains who they are.
The technologies developed for surviving tribal warfare are later put to civilian use, and that's what drives increasing prosperity. No war, or preparation for war, means little improvement in prosperity later. That's just how it works.
Due to biological differences, women's survival strategies are different than men's, however your premise that women leaders result in peace in prosperity is a fantasy. Women are just as cutthroat as men. They just hide it better.
Even though we will have to kill them all, you have to admit radical muzzies had a pretty good handle on how to treat their women. /sarcasm