you are being facetious ( I hope )
Perhaps "balance of power between the sexes" was an innappropriate choice of words, however the thrust of my argument had more to do with a woman's control of her own body.
women's power isn't between their legs 
That wasn't however what I was thinking when I posted that, ...but since you phrase it like that, it is.
It's not a woman's only power, ...but it is one of them. To fail to acknowledge that, or even to deny it strikes me as naive at best if not somewhat disengenuous.
Don't underestimate the ability to bring a child into the world. It is the only way the species survives.
As for the sexual aspect of "a woman's power being or not being between her legs", ...there are an awful lot of folks who not only believe it is, but govern their lives accordingly. And when people act on and/or make decisions because of something, that's a very powerful influencer, and the ability to influence is power.
Tell Spitzer there's no power there. He might disagree. Tell Clinton, ...a man who dodged every bullet, but couldn't dodge that one that there's no power between a woman's legs (or lips in his case) and he'd disagree, ...as would Hugh Hefner & Larry Flynt. Empires, both national & financial, have been built and have fallen, ...based upon the power that lays between a woman's legs.
What we as a society ought to be doing is teaching little girls & little boys how best to harness this power to affirm & enrich life, rather than exploiting it for selfish gain. If you recklessly play with a fire-breathing winged dragon long enough, you will eventually get burned. Denying the winged dragon can even breathe fire is a sure-fire way to ensure you get burned.
