The education system should be redesigned from scratch!
Anecdotally, I can confirm your claim about competent women despising incompetent women more than men.
It's been a trope the last few years, almost a meme in blogs, that executive positions in general attract sociopaths, so I guess your last point about the wrong people getting the important jobs holds for men too.
I'd say even the definitions of mental conditions should be redone from scratch. If you look at a checklist for sociopath or psychopath, an Arhat would perfectly fit many of the criteria. I'm a huge fan of high functioning sociopaths like most of the characters written by Steven Moffat (who is the best thing ever happened to television IMO).The problem is that the kind of sociopaths that get into the power positions are pretty much like those looser pick up artists who are faking it till they make it (who are never going to make it.) Some people develop certain qualities out of insecurity and need for survival. I had lots of interesting conversations on this topic on the comment section of this post: https://steemit.com/sex/@valued-customer/tricks-of-the-trade-part-i-this-might-sting-a-little
That's an interesting take, since I don't generally like socio/psychopaths. But your distinguishing them from the other kind, the insecure/PUA/con-man kind, makes me see that maybe that's the kind I've had most dealings with, and maybe formed my opinion based on them.
Founding Fathers and Ron Paul were all politicians too. It's really like the bell curve for males. Only few reach exceptional levels and many turns out to be bad to absolutely terrible.