Reine, I can't comprehend how you got the impression that I believe that non binary = exclusively female as my main point has clearly been that non binary is not exclusively M or F but rather a combination of both (if individuals feel that they are niether I respect that). If someone is half ethnic African and half ethnic European they don't cease to be either of those ethnicities, to the contrary they are a mix of both of those ethnicities. Would that person differ in charachteristics from someone who is exclusively ethnic African or ethnic European, sure, but they would differ because they are a combination of both, not neither. As for gender markers, non binary folks are not exclusively "M" or "F", they are often "M/F" which would fit nicely under the inclusive non binary gender marker of "NB".
As far as your question Zooey, do I think non binary folks should be entitled to 100% of the spaces that binary folks are entitled to, no. I think it totally depends on the distinction between 'gender' and 'sex'. Do I think that a non binary person should have access to public binary bathrooms with private stalls, for the most part yes. Do I think that a non binary person should have access to public binary change rooms where ones physical sex is exposed, no, but by default this would include pre op TS's. These folks too are in a unique situation because they may have gone through partial transition eg HRT but still have thier birth parts and would likely find themselves in a no person's land. In general though, I think if it's a binary space where your sex is exposed, non binary folks should be in spaces that align with thier sex. If circumstances have more to do with gender, then yes non binary folks should have access to both spaces generally speaking.