Xenia. I disagree with that last point. I see plenty of children who have a significantly better relationship with the one parent (usually the mother) as a direct result of them being the primary carer and spending more time with them. It doesn't have to be that way, I agree, but it often is - because as you say most people are lazy and this includes many men who go out to work leaving the childcare to the mother, and then come home and want to sit down and relax rather than muck in with the kids. Kids will always have a closer relationship with a parent who shows that they care.
As for career choices reflecting only intelligence, hard work and free choice, you're not STILL clinging to the idea that we live in a fundamentally equal society where the bright always rise to the top are you? Seriously?
1 in 4 women experience violence from their partners (the real figure is probably much higher as this only includes violence resulting in charges)
The full-time gender pay gap between women and men is 15.5% Interruptions to employment due to caring work account for 14% of the gender pay gap.
64% of the lowest paid workers are women, contributing not only to women's poverty but to the poverty of their children.
There are almost four times as many women in part-time work as men. Part-time workers are likely to receive lower hourly rates of pay than full-time workers.
Unless you genuinely believe that men are more intelligent than women, the reason women have less economic power is because society is set up in a way that makes them mostly responsible for caring for their children. How can women possibly address this when the legal framework is not in place to help them? Where's the childcare? Where are the laws allowing men to stay at home for the first year caring for the DC?
Also, you keep talking as though everything would be fine if women just became top lawyers or surgeons. Given that only 10% of people in society fall into this category, don't you think that's a tad unrealistic?