Very little to nothing would change.

If women and men are equal and there is no difference between us, then there is likewise no cause to believe that we'd be any different over the long course of history. We don't get to say we're completely equal and the same...and then say we'd be completely different if we had total power. It doesn't work that way.

The thing is, it's very hard for us to see how we'd get to that point because we don't have the long march of history to rely on. But even if the change were sudden, the women who closest approximated the previous rulers would be the most successful and the strongest leaders would rise to the top by mimicking them. Again...in any view over the very short-term, nothing would change.

As a humorous side-note, I'd like to watch that first meeting of Congress. It'd be like Mean Girls 2, the Motion Picture.