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Just as a quick note, this year and last year, I lived on a hall where the bathrooms were gender-inclusive. Instead of being called co-ed, the signs say "everyone welcome" so as not to exclude anyone who doesn't firmly fall into the man or woman categories. As far as I've been able to tell, things have worked just fine. 

I agree with your idea about order, and I agree that things can get really confusing when people exist (or attempt to exist) outside of binaries. I would also say, however, that I think it's ultimately better for everyone when people aren't forced to choose between one side of a binary or the other. Anyway, I'd just thought I'd comment.