Piplantri the Indian village where girls rule

I think this was tried on Survivor, a few times. With hilarious results.

Like for example in one game. On the women's tribe, they were trying to make decisions by voting on everything. A very nobel liberal idea. Except it lead to split votes, squabbles and gridlock, and no action being taken. No shelter being built, and food running out. Pretty much starvation. Eventually halfway through the game, the producers intervened and had the women pick some men from the other tribe to come over and help them out. Soon they had shelter and much better organization. The man tribe picked a leader from the start, and had much better success.

This is was just a game, and its just an accounting of what happened. But its pretty obvious, aside from extremist thinking. That the most successful societies both men and women work together, to outcompete other men and women working together.