It goes wrong from the title onwards, "why modern feminism is illogical, unnecessary and evil". It is none of them. I'm not sure why he makes a distinction between modern and 'ancient' feminism, presumably, that's lost in the mists of time, therefore can develop a rosy glow.
Though what kind of feminism Satoshi Kanazawa an "evolutionary psychologist" would find acceptable is hard to imagine from his statements. He feels feminism is;
the radical notion that women are menCheeky! It's the radical notion that women are human beings. But you can see the source of his angst, having more than one half of the species being fully human is just too much. It probably goes against the true exegesis of evolution.
It's one or t'other, men or women.
No wonder he's in a bit of a bad mood.