Since men and women are intrinsically equal to each other, how were men able gain dominance and…

Collective will? More accurately it’s a shared subconscious desire to maintain any kind of power once it’s been established. While all people are intrinsically equal, men possess traits which led to physical dominance early. Physical dominance got philosophically transformed into moral dominance and codified in culture over time through laws and religion. Voila. You get a 6,000+ year imbalance.