You're appealing to incredulity. I'm not saying this to be controversial:
-there are basically no female geniuses and very few female retards (men occupy those positions)
-the average person, male or female, is a useless consumer and closer to being medically retarded than genius. Why should their opinions shape society? They can't even stop themselves from eating poisonous food or watching porn / propaganda
-outside of reproduction, sexuality, and jobs micromanaging paperwork, women have little utility to society compared to men.
If all men disappeared, society would crumble pretty much instantly (nearly all construction and public utility maintenance is done by men). If all women disappeared, humanity would continue functioning other than men being horny and not being able to reproduce
Why should (generally) intellectually inferior beings that also are highly emotional be making decisions on behalf of the greater good?
This is why Islam and Christianity prohibit female leadership over men.
And why democracy is gay