I'm not sure i understand wireless completely, but i think he's pointing out something central to this problem. The ideas that racial characteristics do not correspond to genotypes and differences within races exceed differences between races are not sufficient explanations for most people, which is why the concept persists. Some people still hold race as life and death matter. Proud Africans, Caucasians and Chinese (whatever these racial terms mean) will never see themselves as anything but racially distinct, citing their phenotypes as the best evidence, which it clearly is.

They will not believe that they are more closely related to each other than to members of their own "race". The assumption may be that just as black cats are related to each other, they are members of their own "race". Some may even find the out-of-africa hypothesis hard to believe. Is anyone going to say that the several televised reconstructions of the neanderthals weren't Caucasian?

A better explanation is needed to convince people that race has no taxonomic value. Perhaps, geography is a good explanation. In any case, noone will believe that such defining characteristics as the epicanthic fold or black skin are the result of natural variation, since they are clearly inherited.