I like modeling things and society is of great interest for me. One of the things I have noticed is men form hierarchies and women form equalities to perform tasks.
one-on-one women being slotted into hierarchies just does not work. If one woman suspects the other woman thinks she's better than another there will be war, better for them to just cooperate as equals. Women are also territorial. If a woman has a man and the other women don't, the woman with the man has the most status. As she has the most resources at her disposal.
A woman who knows about male hierarchies knows she is prime status material. she pretty much slots herself under alpha males arm and she is the most powerful creature in the room. If she doesn't position herself promptly she'll be at the bottom of the hierarchy.
So in our society we have nearly equal numbers of women and men, so people pair bond. And the hierarchies of men are in place. And the society is more or less stable.
Think of it as a crystalline lattice, like diamond, are male hierarchies. when you add women, you have individual households where there is a husband and wife. think of this society like the nucleus of an atom, neutrons and protons co-existing in a nucleus. the neutrons shielding the protons from their mutually repulsive fields.
Now you can have an extremely stable society if its a stable isotope of some element. it'll be come unstable when the ratio of neutrons to protons is too low or if there are too many neutrons.
When a society breaks down as in revolution, the male hierarchies break down. however if you have enough neutrons insulating the protons (I haven't assigned either gender to being protons or neutrons - and in the nucleus, last i checked, the nucleides are all exchanging particles anyway, which may result in the 'strong' force.)
The reason for this piece of hypothesis, and thats all this is - although i think its a fascinating field of research, is because i would joke at libertarians and anarchist friends - why didn't Afghanistan, Libya or Iraq form stable societies when their govts were taken out? They'd all mutter something about oh the society was a mess already.
Society is made up of interactions between men and women. My point is, yes laboring the point again, if you raise the power of women during your revolution, you may avert producing an unstable society.