However...
In the kingdom of Belgium at some point the rule was introduced that half of all political candidates for election must be women and had to receive equally prominent placement on ballots (by alternating male and female candidates). People were still free to vote men into office, but the idea was that it would give women a fairer chance. The same criticisms were said. Before you saw a low percentage of women in politics, like most countries. This was attributed to women having less of an affinity for politics. And yet, after a few election cycles this caused a shift in mindset as well as quality of female candidates and who was elected. Women are no longer perceived to be less suited for politics, the most popular politician is a woman, and gender has gone away as a divisive issue in politics. So, it actually worked. By making people so used to women politicians the issue went away, and you could probably get rid of the quotas and still see a 50% split in the next election.
So maybe our genetic predispositions matter far less than we think, and we can change mindsets through affirmative action. But it has to be all-in 50/50 % split, so that it will change people's perception of normal.