I will worry about it when it happens in the UK, AVirgin. A motion in the NUS doesn't mean a whole lot. This is symptomatic of the reaction round here to Maria Miller's bill, which several people assumed meant that it would be impossible to keep trans women out of women's toilets, rape crisis centres and the like, whereas it says nothing of the sort.
Um, Maria Miller said herself that rape crisis centres should be allowing transwomen in, both to work/volunteer there and to receive help and support there if they have been assaulted. Of course Maria Miller is the one behind the gender identity bill so to her a transwoman would be any man who identifies as a woman or says he is a woman. No transitioning needed.
Shit is already happening in the UK, we don't have to wait and see. The CPS has already advised schools that any boy who says he identifies as a girl should be allowed to use female facilities such as changing rooms and any girl who objects or feels uncomfortable could be charged with a hate crime.
Hospital policies have been changed, again to allow any man who identifies as a woman to stay in female hospital bays. These new policies state that it doesn't matter how long said man has been living as a woman or if they've made any effort to transition; if they say they're a woman then they're a woman basically. If any woman objects to this then she is told to STFU basically. Her feelings and rights don't matter; as long as the man who feels like a woman and his feelings are validated then that's all that matters.
Transwomen have also started being sent to female prisons when they commit crimes. Coincidentally (or probably not) all these transwomen or men who identify as women have all been sex offenders and committed sex crimes against women. But you know whatever, just send them to female prison, it's cool 
Maria Miller's bill may not have been passed and it may not ever be but the problem is is that there are places and organisations who are already changing policies as if it gender identity is law already.