Some aspects of sexism are inherently symmetrical: if fewer women stay home to look after children, more men will stay home to look after children (modulo increase in commercial childcare). Similarly if more women out-earn their partners, fewer men will out-earn their partners (modulo post-capitalist heaven).
Overcoming these aspects requires reversing or at least dismantling a lot of the incentives that currently exist in society.
Sometimes the incentives can be shifted elsewhere, eg. in post-capitalist heaven where the concept of earning power no longer applies but social status is still very real, and so men compete with each other in sport, music, acting, comedy, academia, video games, and any other ranking they can find or construct.
Amusingly this could result in a world where men achieve reproductive success by being the most handsome and the most agile at espousing the virtues of feminist theory, like Justin Trudeau: imagine a world where “it’s 2015″ forever.