Not really - almost everyone can agree on "middle eastern/north african", "east asian", "south asian", "black african", "white", etc. If you force people to pick a single-digit number of major categories, they're probably going to come up with the same categories that k-means in fixation space would.
That almost everyone can agree on these categories is also contrary to reality. For example, many of who you describe as East Asians consider themselves racially distinct both within their societies and from their nearby neighbors. Also, what major categories do mixed race people fall inside?
> many of who you describe as East Asians consider themselves racially distinct
That's why I specifically mentioned the number of racial categories involved. Obviously as the number increases you can have different clustering results.
> Also, what major categories do mixed race people fall inside?
Obviously not into any of them, if we're talking about a simple mechanical classifier with high separation.
It may not be “your job” to provide such evidence, but you’ve made a series of specific claims about things like the rate of phenotypic variance among different racial groups. If you don’t want to defend them, that’s your prerogative, but you also can’t expect them to be received as authoritative or remain free of challenge.
This meme dates back to a loose claim made by R. Lewontin back in the 70s. In fact, you can very precisely and reliably recreate the "intuitive" human racial categorization using unsupervised algorithms, like doing multi-dimensional clustering over fixation indices. (It does not work using single-dimensional clustering, which is what Lewontin was talking about.)
Modern biologists usually talk in terms of clines rather than races, but this is just using the first derivative instead of the zeroth - you'll get the same result either way.
> Africa actually has more human genetic variation than anywhere else.
SNP diversity has ~nothing to do with phenotypic variance.