Opponent, Advesary, etc.... Those are terms that should be used. Enemy denotes hate, agression etc.... He is a tool.
I don’t know. Paul calls the Devil himself our Adversary. I think they are all interchangeable terms. As for hate, Christians are supposed to love their enemies, so no necessary inference of hatred there at all for me. I think people grow up in different “connotation pools,” with respect to certain charged words. I’ve seen enemy used in so many varied contexts it would be hard for me to limit it to pure, irrational antagonism. Presidents, however, should never take the position that Americans who want American law enforced are oppositional to him or one of his constituencies. That’s the revealing slip. I think he might well see “enemy” just the way you define it, as mere objects of irrational hated and aggression, and yet he used it of us. If so, it speaks volumes of where his mind is at.