Houyhnhnm
In my last post I used your counter-point to illustrate my ad hominem point. That was probably undeserved because actually I have been and continue to oppose LaeMing's too easy de-humanisation of people he/she disagrees with. One could even take a conspiratorial view of that post to suggest that LaeMing was trolling for the other team. No doubt Rush Limbaugh and his active followers understand that there are none so committed to the cause as the demonised. And they are not averse to some self-generated demonisation as means to an end. LaeMing's actual intent is irrelevant. My point remains that demonisation is counter-productive to achieving peace.
To one of your points, segregation is not an option. This idea reminds me of the fourth book in Gulliver's Travels in which the animalistic Yahoo are separated from the intellectual Houyhnhnm. If you read it keep in mind that it's a parody of utopian thinking in the Enlightenment.
In the real, messy world classifications are made and re-made all the time. There's effectively an infinite number of usable dimensions. Through billions of years of evolution animals' brains (including all humans' (including your definition of rational humans')) have become very effective at identifying useful dimensions for problems in their particular domain. I agree with you that rational thinking can sometimes be a useful dimension to categorise actors in our domain, but it's not not the one and only. We are all much richer, more complex and subtle than that. Acknowledging where an individual's strengths lie is a more reliable path to peace than to castigate them for their failure to meet your target on a single dimension.