Also an American, but from the outside I don't see how a majority desire can be so accurately determined beyond a vote.
> Some portions of the UK [...] are strongly aganst this voting result.
This I definitely see from the loudest. So strongly that the vote has been tarnished every which way (which, let's be honest, you can do with any vote you want due to all the malfeasance you can find by campaigners). It's becoming a pattern. The votes that the loudest in democracy don't like or can't understand are being challenged on several grounds, most boiling down to assuming ignorance and gullibility of the other side. Accepting results is becoming harder and harder for some to the point where the larger-yet-silent groups feel no recourse but to use the polls and the louder feel no recourse but to invalidate votes and/or prevent them from happening and/or try again.