Ungendering seems like the extreme, and so, the wrong step to take in the workplace. What Obama put forth -- using the facilities meant for the gender you identify with -- seems like a more common-sense response. Chances that someone would exploit such a policy at a work place seem pretty low. Maybe the point is to spread awareness by taking a stand? Maybe the point is to take a more extreme step to make trans people…
what about non-binary people? What bathroom should they use in a workplace with binary gendered bathrooms?
They just use the one they are most comfortable with. If that is a problem it can be worked out on a case by case basis.