Earlier quoted context omitted.
Everyone finds for themselves what witness they must bear. If the OP feels an obligation to help transform social views of homosexuality, well that's their duty as they see it. Likewise those evangelicals who feel the need to bear witness to what Jesus has done for them. If they share a cab it could well be an exhausting ride for everybody but this is beside the point of their obligations as they seem them. We must a…
We must all do the right as we see it. [..] Doing what _you_ think wrong is wrong. Hmm.. this seems like a form of relativism. Are you implying the inverse as well: Doing what _you_ think right is right? How do you defend that if "right" for me happens to be walking around nude in public, or more extreme, shooting people that I disagree with?
The fact that is right for you to do something doesn't mean it's not right for me and others to stop you from doing it. Since they're relative, there's no inconsistency.
Incidentally, I find it amusing how you just implicitly judged whole societies (where walking around nude in public is/was the standard) as being morally in the wrong. I've always found the moral absolutism argument to have a disagreeable taste of superiority.