Tithe,
So what you are saying is that if he walks in the ladies' room and announces that he is gay, then everything will be cool with the straight ladies, right?
And vice versa, lesbians should announce themselves to the straight men before using the men's room.
I don't agree with your encouraging Joey to lie to straight men in the men's room and hide himself.
The rest of your answer sounds reasonable. I vote Tithe's answer BA with the caveat that Joey not lie to straight men.