Part of your problem in understanding this story is that you don't really get what the term patriarchy means from a sociological perspective. It is more than male dominance (which I might remind you is something that was codified in US law a mere 50 years ago and is still deeply ingrained in the cultural consciousness). That's an important aspect, but it's not the only one. As I said in this OP and in every story I write about the social system of patriarchy, it is a dominance based hierarchy which is not only the root of gender related issues, but also racism, homophobia, and garden variety bullying, to name a few. Read this for more on that:
In addition, here are two more articles of mine which talk about the ways to create solutions to a patriarchal dominance-based hierarchy - published in Data Driven Investor.
This is an excerpt from the first one:
"Partnership-based structures (in the family, workplace, or civic arena) don’t have to mean that everyone has equal say, or that there is no hierarchy or leadership at all. The goal is not anarchy. But instead of creating an in-group and an out-group, or having some people with vastly more power than those around them, the goal is to have real cooperative relationships that yield the best results for everyone.
Demands for subordination and obedience are replaced with mutual respect and collaboration. Stratification based on arbitrary elements like gender, race, or class are unnecessary and serve no purpose. Achievement based solely on merit is fully possible. Quality-of-life, human development, and environmental sustainability become more important than the interests of a few elites.
Are we likely to fully realize this kind of society in the immediate future? Probably not, but some meaningful moves in that direction are already underway, and there is no reason for them not to continue, despite the current pushbacks from many of those at the apex of the pyramid. The more we recognize and discuss the differences between hierarchies that are based in domination and the possibilities for a more partnership-oriented culture, the more likely we are to be able to embrace them."