The story is total bullcrap.
Not only would women never have the power to overcome a society even if they pooled all their strength together.
Why? Just look at Islam, it is one of the greatest reasons for women to fight and yet they do nothing but willingly and completely submit to it.
Secondly, they would lose access to all technology as the skilled professionals are nearly 100% men. Even if they have the technology, they would never provide the necessary professionals to keep it running. Female society would probably become a stone age technology-society very fast (in around 5 to 10 generations probably).
The genetic filter would also heavily select towards strength instead of intelligence as the more intelligent, but weaker women would be easily raided away by the men. This would result in the men becoming more intelligent while the females would lose IQ every generation.
There would also be a huge incentive for intelligent women to rather go over to the mens side:
- no fear to be raped during a raid
- can choose the man she wants to be with
- is protected by the men, especially while she's weak (i.e. pregnant state, which plays a role in this story)
- has an easier life due to technology
- has lesser chance to die in childbed
All in all this is just a power fantasy of & for some leftist feminists (similar to World End Harem and Freezing), there is no way that a human society would become that way (you have to go to the Bonobos, Elephants or Naked Mole Rats to find a female-dominated society within the mammals)