Honestly given his authoritarian tendencies (Alien and Sedition Act for example), how dirty the 1800 campaign was, and that he refused to participate in the transfer of power (leaving the capitol in the middle of the night before the inauguration) I can easily see John Adams not having much of a problem with Trump's behavior.
Adams was still an intellectual though. I think you really have to be a bit of a dumb hick to not dislike someone like Trump. You could still view him as a useful idiot, but you wouldn't approve of him as a person.