High IQ men that mate with average IQ women, often produce high IQ offspring so it doesn't really matter if the high IQ women select themselves out of the gene pool.
The men drive evolution. That is why we feel the urge to impregnate many women.
I read that most men in certain parts of Asia have Genghis Khan's genes.
If the State wasn't dictating to men that they have to give up an arm and a leg for each child they produce, men would be much more reproductive.
Men used to be the primary drivers of evolution via sexual selection but this is simply no longer the case. Most men in certain parts of Asia do have Genghis Khan's genes. Genghis Khan lived in a time when your statements above were true.
Today it is women who drive evolution and unless there is a dark age where we return to tribalism (unlikely) this trend will continue for the foreseeable future. The state requiring significant child support and providing basic resources to single mothers certainly cements and accelerates this trend but it would exist even without state involvement.
In the past being physically intimidating, success at combat and violence, and multiple brief "romantic" conquests were huge selective advantages that would result in offspring. Today their importance is rapidly diminishing. Female fertility and reproduction is now completely under the control of females and this represents a profound and under appreciated shift in selective pressure.
Today it matters little how many romantic conquests a man has and expending significant amounts of time and energy to secure multiple brief conquests provides little reproductive advantage and may even be detrimental.
This article provides a snapshot of what today's dating scene is like for many young people.
http://www.vanityfair.com/culture/2015/08/tinder-hook-up-culture-end-of-datingMarty, who prefers Hinge to Tinder (“Hinge is my thing”), is no slouch at “racking up girls.” He says he’s slept with 30 to 40 women in the last year: “I sort of play that I could be a boyfriend kind of guy,” in order to win them over, “but then they start wanting me to care more … and I just don’t.”
An individual able to sleep with 30-40 women a year in the ancient world would have been setting himself up genetically as the next Genghis Khan.
Today it is quite possible that Marty has no children. The selective pressures have dramatically changed.
Compare that with this blog by a women named Julie who has six kids. It is obvious from the article that she decided to do so because she loves children and likely has identified a mate that helps her support this many children.
http://www.huffingtonpost.com/julie-cole/6-reasons-to-have-6-kids_b_4182276.htmlWhen people hear that I have six kids, the reaction is usually entertaining. Sure, there are some days when I wonder what I've gotten myself into... But most of the time, I just celebrate how awesome it is to have six kids.
It is women like Julie not men like Marty who will drive human evolution over the next several generations.