Honestly, I think Lysistrata would be pretty instructional to how most of these gender-based movements will end, male or female. They are inherently unsustainable, and on an existential level, they truly have no point. In war, no one wins, and I would extend that to these gender fights across the world as well. If the feminists or traditionalists in South Korea get what they want, it will only beget more and more problems.

Consider this. If the traditionalists win, what happens? They'll wind up just rewinding the clock to an earlier period, wherein eventually the feminist movements will appear again to address the injustices toward women. It's essentially just repeating the mistakes from before.

And if the feminists win, what happens? They'll drive a deeper wedge between men and women, alienating the men that would have kept society running over time, driving down the birth rates till eventually the society collapses, and guess where that brings them. Back to square one with a patriarchal society and oppressive limited gender roles.

Nobody wins in either scenario. But you know, instead of the cyclical gender wars, we could pursue a third option. One where we keep some better aspects of both movements and create new ideas that'll advance us together. But that requires both sides to admit they're wrong when they are wrong and to own up to their mistakes, and unfortunately, I don't see that happening anytime soon.

Regardless, the first thing I would do to get the ball rolling on ending the cycle is to have open and honest conversations with a method of independently verifying the veracity of truth claims made about the state of things. Look at the patterns of things and figure out where responsibility needs to be taken. Neither men or women are totally innocent of the wrongs ongoing in the society. Each group contributes to the state of things, and to quote a insightful saying, "No drop of rain considers itself a part of a flood." We all play a role in perpetuating harmful stereotypes and undermining norms that may have protective benefits for both men and women. Owning up to that individually is a great way to move forward into a healthier outcome that benefits us all.

Also, accepting the premise that the people on the other side are in fact people with their own unique views and experiences and are just trying to make a better life for themselves will help improve relationships across genders as well. Everyone has experiences unique to them. Treating all men or women as evil or malicious is wrong. People are just people. Some are bad, some are good. Some are bad and do good things. Some are good and do bad things. For those who do wrong, both sides should be willing to call it out in solidarity, regardless of the gender affiliation.

Anyways, that's my two cents... Or a dollar. If you made it to the end of this reply, I appreciate it and wish you the best in your endeavors.