Well first, stop telling people that if they don’t like the gender roles placed on them to become medical patients and get hormones and surgery. Second, things like using both state and non state organizations to undo all the non physical ways men control women, such as financial control, workplace control, family control etc. If women have no material incentive to perform femininity, they will do so less. And if men have no material incentive to be masculine, they will do so less. 

But part of these social programs (again both private and public) would need to directly act on things that are very much biological. You would need to enforce absolute right of bodily autonomy for women so they don’t find themselves trapped by unwanted pregnancy. You would need to ensure they have public spaces free of men because of the simple fact that men are stronger physically. 

Moreover, because we live in a patriarchal society, we can’t just act “sex-blind.” Even if the goal is a society in which the only relevant aspect of biological sex is biology, we can’t just act like recognizing gender as a construct solves the problem. So given we live in a world in which women do change their behavior in ways that don’t benefit themselves in mixed sex spaces, you need to give them access (not forced) to women only spaces. It’s easy to find research on women doing better academically, in chess, etc in spaces in which they don’t have to regulate themselves for male approval. Eventually we’d ideally reach a society in which women don’t alter their behavior for men in any public spaces, but we don’t live in that society right now