For years it was never a problem.  A transgender person merely went into the bathroom of their choice and used a stall.  No one was the wiser.  But then it got pushed into everyone's face and problems resulted. There would be no way to stop a person who identified, true or not, as the opposite sex from entering a bathroom.  Bigger problem is showers and locker rooms, a person of the opposite sex regardless how they identify should not be in the men's o woman's locker room.  Think what would happen if I strolled into the women's locker room at the Alaska Club. All I would have to say is I identify as a woman and no one could d anything.
And I agree pairing this with racial discrimination is so much horse manure.