Difficult questions, Deanna. I rather think that what we need is equality. The culture is made up of people, and so we are the ones who have to make changes.
I was horrified to see the house league soccer league we were with for years decided to segregate the genders for the kids younger than mine. This was apparently decided to protect the little girls from having to interact with the boys. This seems the opposite direction we need to be going. Nothing motivates gender co-operation more than sharing goals