An extremely complex question, which I will not attempt to answer. A potential negative result could be that men in power make decisions that favour men, making life more comfortable for men than women.
I think that is usually the negative result that is presumed when people talk about living in a patriarchy but I don't think it is well supported by the evidence. I think gynocentrism means that women's interests are always of primary concern over men's, and that politicians know this (and think this way themselves) and that their genitals don't affect this at all.
Democratic voting is where both genders have the same voting powers. If voters start respecting women equally as they respect men, which is not exactly happening yet, that will change the power ratio between the genders, at least in politics, not directly in business life.
Right.. isn't this what we have? Everyone's vote is equal. Therefore, politically speaking everyone's ideals are represented, regardless of the genitals of those writing and voting on the bills. Last I heard women make up a majority of voters, too, suggesting that if we're going to collectivize people in these groups then women in fact have more power than men (I don't do this except as a counter point)