"Men tend to 'win' if they stay in employment full time when women choose to have children."
Is that a feature of these inalienable differences? Does that drive men to stay in full time employment and not want to care for their children?
"They win in board rooms and other high-stress environments; often due to the benefits of testosterone and different brains." What does "winning" in the boardroom/high stress environments mean? Being represented in greater numbers, or paid more or something else? How does testosterone help in that environment? What are the key inalienable differences between women's and men's brains that mean men will "win" in these situations?
"The 'win' in certain fields as they tend to be able to visualise certain issues and therefore can respond to them better"
I have no idea what this means. What does visualizing certain issues mean?
"They're more likely to be monomaniacal or have HFA and can excel in a narrow area of academia" This sounds very interesting. What aspects of men's brains make them more likely to be monomaniacal and focused on narrow areas? Or is the testosterone?
"They're stronger so win at most sports. Due to testosterone (amongst other hormones) they tend to make better soldiers and other similar jobs." Men are clearly stronger than women, so will generally win against women if they compete against them in physical sports certainly. Does this mean you think that women's sport is pointless as they can't win? Or that women should compete against men in all sports and accept that they will always lose.
Could you define what you mean by "better soldier", an example of an army where this is the case would be very interesting.
Also, I'm a little confused because you talk about inalienable differences between women and men, but then talk about men "tending to" and being "more likely to". That sounds like it's not so absolute?