Actually unless you are doing physical exams on people you meet you absolutely are accepting their self identification on a daily basis. You might have a problem resolving this logically but that's exactly what you are doing.
Okay we need to address this.
Gender/sex is not complicated for.... pretty much everybody within a statistical margin of error. For most... like everybody there is not some great battle going on in their minds between what's between their legs and what's in their... gender soul as I'm pretty much reduced to calling it at this point.
Most people don't default to making this huge distinction between gender and sex (or biological this and mental that, or between your... demographics and your identity or whatever) because it's just not a thing for most people. And that doesn't make those people bad or evil or hateful.
We can not confuse caring for and respecting and accomodating and tolerating minority views/lifestyles/whatever with some grand pantomine where all have to pretend they aren't minority views/lifestyles/whatever and expect them to have the exact level of influence on just general street level day to day life.
"Is this dude I'm talking to really a dude" is not ever going to be a common thing people just consider without reason in generic, day to day casual conversation and if they do, it's not going to be in the way transgender people want but in a much more distrustful and sinister way that I don't think anyone wants. The trans community has to fight the "Trans = Trap" nonsense enough, they don't need to make it a core part of their argument.
I don't like this anymore than you probably do, but I can't make it not true.
This... mythology that the trans community has created for themselves where there some statistically significant amount walking around legitimately fooling people as to what biological gender they are is.... not accurate.
I kind of had the same train of thought during the big gay rights push, this popular idea that gays had been living in the closet in some literal sense... I mean not in the literal sense of being in actual closet of course more of the metaphor being the idea people were being gay and literally keeping in secret. That happened, to be sure, but I think much more common the "closet" was a more valid metaphor for a level of plausible deniability then some literal "Nobody knows/suspects I'm gay" kind of thing.
But anyway this idea that the big "gotcha" moment is going the revelation that a bunch of transgender people are in my Dunbar's Number and I'm not aware of it... no. Sorry. Not gonna happen.
People are just not nearly as good at hiding their true nature as they think they are. There's a reason the members of the military refer to the day Don't Ask, Don't Tell was repealed "No Duh, Thursday, Presented by your new CO, Captain Obvious."
I am sorry to hear people brand you a bigot, i have seen no evidence to suggest this is the case.
And again you can't go "Well
I don't consider you a bigot" and wipes your hands of when all the hoops I have to jump through to not be a bigot to you are the exact same hoops that I have to jump through to be a bigot to someone else.
My endstate in all this can't be "Just pick who you want to consider you a bigot" when all the arguments are basically the same "You're not doing anything wrong, you just aren't conceptualizing it the way I want you too."
I think you have picked me or something up wrongly on the bathroom issue.
You aren't the only one in this conversation I have to appease.