I don't know if the world would be a better place because too many women want to have the same kind of power as men and are willing to emulate their worst behavior in order to win their favor. I say this because women also once owned and brutalized the enslaved in the US. And I am too reminded of the "girlboss" power of Margaret Thatcher.

On the other hand, I do know the things women (even if it was just white women, whom I absolutely do not trust when it comes to caring about women of color) would immediately start trying to fix, like domestic and sexual violence, wage equity, etc. Basically the kind of thing that a lot of men wouldn't like to have curbed because their identity hinges on expressing dominance over women.