I accept that they exist, but I don't accept any of their claims about gender. It requires a set of outlandish beliefs that I don't personally hold. I don't mind that they hold these beliefs, but I think they're incorrect and incoherent.

This is the same stance that I have on various religions. If this is bigoted, so be it.

You've probably met people you don't know are trans. If you saw Andreja Pejić or Laith Ashley in person there is no way you'd suspect them of people trans.

All you're saying is, you don't want non-passing people allowed in the wrong restrooms. Which, is... it's just a strange thing to want, really.