> and that fathers "babysit" their own children.

That really, rally annoys me.

> we should fight back against outdated cultural norms that assume that mothers are the default parent

Its changing very slowly. Its very deeply ingrained which is self-reinforcing (schools phoning the mother when a child is sick is an example that came up in a previous discussion). Its assumed by the law in many countries (virtually no paternity leave here in the UK, for example).