Earlier quoted context omitted.
He's talking about evolution though, and it definitely seems to hold up for our past as a species.
I wouldn't be so sure. This line of thought seems to reflect a bias towards modern-day societies and how they operate ("modern" being the last couple thousand years or more). In ancient hunter-gatherer societies, people most likely lived in small tribes, so this idea that women have to be skeptical or critical of men doesn't really hold up. Men who are a real problem would have been cast out of the tribe or killed, a…
This premise and your thoughts on polygamy can coexist with my suggestion about women being selective. If you can have only a handful of pregnancies in your lifetime each of them carrying the very real risk of death for both yourself and the baby, as well as the burden of taking care of any children that survive, then you really need to make sure that your shots count and you're choosing the best mates from the tribe. Men don't have the same burden of pregnancy and childcare - additional partners only increase their chances of passing along their genes, so as a result they become far less selective.