There certainly are some interesting other options being explored — and I may even pick up your book because it sounds quite good! — but I strongly believe that one doesn’t solve a problem such as the patriarchy and sexism without tackling its root causes, and so, whilst your idea may be a good alternative to democracy in general, I think that this issue should be tackled at source: in culture, for example, in order to bring an end to the intolerable inequality of today.