Now you are behaving as you claim Hare to be behaving in your worst nightmares.
I, for instance accept those who we are currently defining as psychopaths as human beings. I doubt there is anyone seriously studying such folk who does not.
Hare, most certainly, is not attempting to take away people's rights based on a label....people who run away with a dim understanding of his work may well be attempting to do so. This does not make either a carefully considered label necessarily and in and of itself bad, nor does it make Hare a crackpot.
Nor does it imply, nor have I seen Hare saying, that such folk may not choose to treat people well...it DOES imply that empathy and altruism will not be part of that decision.
This is so, also, for some of the most deeply traumatized children I see...it does not make me, or anyone else I am aware of who has some understanding of them, see them as not human.
As for the question as to whether other folk are superior to psychopaths....that would depend on your values system.
Overall, I suspect that empathy and connectedness have worked well for humans as a social strategy, and that it is very easy to argue that people having regard for each other is a better way to go.
I think you are focussing a lot of stuff on Hare that more properly belongs to what appears to be many people's desire to dehumanize and deny their connection with people of whom they disapprove...we see it all the time in relation to criminals, people with whom the US is in conflict, people with whom radical Islamists are in conflict...
At one time I would likely have agreed with you more re labelling, and I still find much of it that goes on in poor psychiatric practice, for instance, utterly repellent.
BUT....I have lived to see labels that I saw as utterly useless, like Borderline personality disorder, conduct disorder (labels that have been hideously misused..especially BPD, which used to be a kind of "garbage bin" diagnosis) allow research that has led to a far better understanding of what the contributors are to such patterns of beliefs, feelings and behaviour and generated a series of interventions that seem to be genuinely helpful.