In my mind I can think of three possible outcomes to this.
1) The Animal Outcome: communal bathrooms. Just think of the savings to corporate America - only one bathroom to maintain. Everyone comes in, does their business - with or without their friends, children - and leaves. Perform your natural functions with whatever fixture you are comfortable with (please not the sink!). And yes, use stalls for toilets and dividers for urinals - see, we're still modest animals.
2) The Hellish Outcome (a la Great Divorce): single person bathrooms. Sterile, isolated - one toilet, one urinal (optional), one sink, and a real door. Long lines or many rooms to maintain, but everyone can keep their privacy. And parents can help their children without sending them into other dangers.
3) The Gospel Outcome: gender specific bathrooms AND national repentance of and discouragement of sexual perversion. "But from the beginning of creation, ‘God made them male and female'" (Mark 10:6).
There's more to be written, but I can't take more time today.
As a light-hearted aside, it's been suggested to me that this new legislation will break up the International Spy Ring of Women which in former times used the sanctity of the ladies room to rendezvous and exchange secret messages using drop boxes... I'll stop.
