The most common definition of female is able to have children while the most common definition of male is produces sperm. Those aren’t social constructions at all. The social constructions are the stereotypes of sex and gender that trans people don’t conform with. Which makes it even more strange the way we deal with this linguistically. You seem to be both criticizing the social construction while trying to strictly adhere to it by calling females who want to be more masculine men. Why isn’t there a better way of articulating that concept?
Why isn’t it simply ok for a woman who identifies more with men to simply be a masculine woman? Why does her desire to be more masculine redefine her that completely? If I thought I was a woman I would be in a lot of trouble finding a way to see myself positively from that perspective.