First off, cis male privilege IS a birthright in our society. This, regardless of whether men are aware of it or not. Privilege is systemic, not personal.

Second, you write about how men struggle with culture and mindset as if this somehow negates the reality that despite whether men are stereotypically either “sensitive” or “unemotional”, they still experience the benefits of being a man in today’s society.
And while we’re on the topic of mindset, what about the struggle that women face while trying to bring down a system which has historically removed their agency and oppressed them?

Also, we should “teach today’s young women to raise their children…”
Really, bro? As if the reason why our society has cis men oppressing women is somehow because they weren’t raised right. Reality: This is a historical, macro-level system of injustice ingrained in all of us.
Side note: How about we teach young women to recognize and work against the patriarchy so that they can do whatever they want (whether that includes having children or not) instead? And what about men or trans people who raise children?

Finally, you ask “Can school administrators really tear down generations of social injustice..?” and answer that they cannot. This may be true, but these conversations begin peeling back the longstanding systemic oppression of women by men. These conversations are a beginning. These conversations are invaluable. These conversations may not “tear down” misogyny, but they are chipping away at it.
And frankly, your alternative is downright ignorant and way oversimplified.