The manager’s gender isn’t a factor. So what's the best way to rearrange corporate structures so that doing well in business doesn't require traits that don't

The manager’s gender isn’t a factor. So what's the best way to rearrange corporate structures so that doing well in business doesn't require traits that don't match our cultural ideal for what women should be like? Or would changing cultural ideals be easier (maybe find a way to get hollywood on board)? I guess I'm assuming here that "I figured only strong performers would be willing to share" is correct, and selected for mostly people who do behave in a mostly-ideal fashion for business success.