#####On this, I will defer to folks more qualified to answer you.####
Fine. But I think you know the answer. I think you also know that the president of Harvard was nearly removed from his post (and forced to grovel and apologize) for mentioning the evidence for gender differences in math/spacial abilities. And you surely know that any science teacher who brought such scientific evidence into his classroom would be fired. The best he could likely get away with would be agreeing to attend diversity training and promising never to discuss the possibility of such gender differences again.
Gender differences in mental abilities -- and all group differences -- are just shifts in the bell curve. One of the top theoretical physicists in the world is a woman.
The Harvard problem really boils down to whether affirmative action should include lowering standards. This is not a new problem. Harvard started a quota system a century ago when it became obvious that the most qualified candidates for admission were Jewish. Harvard has quotas for nationalities, states and regions, children of graduates, and all sorts of things.
Now women are knocking at the door. They have a claim because quotas have been institutionalized for all kinds of groups.