the only way out of gynocracy is reassertion of patriarchy. this would require society to come to hard realizations in the nature of men and women and position them into their proper heir each in society. it would also require that society to once again self-impose social constraints on the behavior of both men and women in accordance with their natural predilections.  these type of social reorganizations dont happen from a top down or grass roots movement, they will happen out of necessity via natural regression to the mean in the aftermath of chaos.
Canada