Ah yes, the good old macho culture that has been disfiguring men emotionally and physically for longer than I know. The macho culture is probably one reason why we don't live as long as women do, since we consider going to the doctor to be expressing weakness, which is verboten. Aside from that aspect of the issue, it's no secret that worker rights barely exist in the US, and a strong parental leave policy enshrined into law would massively help both men and women.
Getting real worker rights in the US be like pulling teeth from a stone (sic), though. We don't even have sick days by law-- seems like those should come first.
A quick list of things we direly need which we don't have:
1. Paid sick days
2. Paid vacation days
3. Hard limit of hours worked per week
4. Overtime pay for salaried employees
5. Paid parental leave
6. Control over scheduling of hours
7. A realistic minimum wage or some other way of guaranteeing survival of the poor
8. Paid childcare