I do get very tired of your malicious misrepresentations.
In 99% of cases, the genitals are accurate for the visible secondary sex characteristics. If it looks like a female, it's probably a female. If it looks like a male, it's probably a male.
Given that starting point, if a transgender person passes well enough to not stand out, they can use the facilities of their selected gender - with the exception of prisons, where genitals actually do get seen during processing.
I've repeatedly used a common-sense approach: use the facility that the majority of people are going to assume you ought to use. If most people are going to perceive you as male despite a dress and makeup, then please, Mr. Izzard, use the men's room. If most people are going to perceive you as female despite a suit and having removed your breasts, then please, Ms. Page, use the ladies'. If you manage to actually pull off androgyny well enough to really end up in between, then lucky you, use whatever you want - but if you select the room that your genitals don't belong in, then make damned sure you keep them covered.
Why TF is this so difficult?