Since the “end goal” of this charade is to eliminate all gender typing, then, yes, I believe ultimately, you will be allowed to transition to whatever gender you feel in the moment. But you won’t be “gaming” the system, because the goal is to eliminate the system (i.e. gender typing). If there’s no gender, there’s no gender assignment.
That may be the superficial end goal, but the REAL end goal is to cause enough confusion and chaos for the government to come in and establish a coherent (but not necessarily good) social order.
Believe it or not, something similar was tried all the way back in the 1920s in Hungary by Georg Lukacs. As the Commissar of Education and Culture, he instituted what he called “cultural terrorism”, with radical sex education given to children of kindergarten age (sound familiar?).
http://www.americanthinker.com/articles/2007/02/cultural_marxism.html
What the TRUE end goal is elimination of God-given rights, to be usurped by the Rule of Man - rights invented, granted, managed, and revoked by the government.
http://www.bookwormroom.com/2016/05/13/sex-and-state-power-whats-behind-obamas-transgender-push/
Liberals will not be able to defeat nature. They can force people to play their game out of fear, but in secret men will be men and women will be women as they were created.