> Laws in the US default to women as caregivers.
Mostly, they don't.
> Women get maternity, men don't
Well, by definition, its only "maternity" when the mother gets it, but the federal requirement for unpaid, job-protected family leave in FMLA applies equally to parents of both genders, as does (for one example) the California state requirements for job-protected unpaid family (CFRA) and paid family leave (PFL)
> Women get default custody of child in divorce, men don't
There is no legally-specified default custody in divorce; women get custody in divorce more often because they are more likely to request it. Men get custody more often when it is contested between the parties.
> Women get to adopt easier than men
AFAIK, that's true for single women vs. single men in practice, but not an example of a default in the law, since its a result of the practices of private adoption agencies, not a result of a difference in legal requirements.
> Domestic violence on men is ignored/laughed upon, presumably because men are not caregivers but violators by default
Again, to the extent that's true, that's not an example of the law treating them differently; as a matter of law, domestic violence is equally prohibited when a male is the victim.
> Women don't have mandatory military conscription, men do
Well, no, since the draft ended and the all-volunteer force was established, no one has had mandatory military conscription in the US. Men are required to register in preparation for any potential change in that policy, though, so while overstated, this seems to be the single valid example of a legal preference in the direction you suggest on your list.