...find ways for us to develop our own native talent without exacerbating inequality.
Good luck with that.
What's interesting is that if you talk about running or weight lifting...
Kind of apples and oranges. Physical activities are much more easily measured, and there the sex differences are apparent even among average individuals as opposed to only at the margins. Arguing that men have (on average) more upper body strength than women because of socialization is like arguing men are taller (on average) because of socialization. It's not plausible. It's entirely plausible, though, that women's math performance is impacted by socialization. My personal opinion is that socialization doesn't explain the entirety of the gap, but it's certainly not as obvious as the physiological basis for strength and speed.
Think women can't do math?
Hardly anyone thinks this because there is ample evidence to the contrary. Moreover, the average woman is probably about as good at math as the average man. But when you're hiring in a "mathematical profession" you're not looking at the entire population; you're looking at the set of men and women with relatively high mathematical ability. Within that set, at least in the United States, men outnumber women. This could very well be the result of socialization; I'm not necessarily arguing from physiology. But it's hard to argue with numbers. The ratio of men to women among the set of SAT takers with a perfect math score, after adjusting for the fact that more women than men take the SAT, is 2.5 to 1. So, all else being equal we should expect about 28% of engineers and mathematicians to be women. Interestingly, if you look at the percentage of Math Ph.D.s granted to U.S. citizens (in 2010) women earned exactly 28%. With respect to engineering and computer science, approximately 20% of bachelors degrees (in 2008) were granted to women, so there may be work to be done there. My guess is that this is due to the stereotypical reputations of CS/Engineering (bearded hackers with poor hygiene and huge egos) being less appealing to women than to men.
The rule on staying alive as a program manager is to give 'em a number or give 'em a date, but never give 'em both at once.