Late comer to the thread.
Are there enough differences between the DNA of the 3 or 4 "races" as traditionally called to argue there may be speciation taking place?
"Speciation taking place" implies the races are in the process of becoming more different. They're actually in the process of merging back together -- the high water mark of maximum racial difference was surely thousands of years ago, before decent boats, before the Silk Road, before domestication of camels. Those developments made DNA move much more rapidly from race to race than it had before. So it would make more sense to say speciation
used to be taking place before the whole process was overtaken by countervailing forces.
Moreover, before you ever get new species you get new subspecies. And while there's no hard-and-fast rule for how different populations need to be for them to be considered subspecies, for the most part in animals it takes more difference for biologists to call two populations different subspecies than we see between human races. Since modern humans hadn't gotten as far as having subspecies when the process was interrupted, instead of saying speciation was taking place, the most accurate way to put it would be to say that
subspeciation was taking place, but is now running in reverse. Modern races are the remnants of that process. Subspeciation is normal for animals of all species; we're no exception. There was a time when Homo sapiens had fully subspeciated -- we had Neanderthals living alongside Cro Magnons at the same time we Cro Magnons were starting to subspeciate again.
In the course of its speciation, every kind of animal we now call a species was once just a subspecies; and before that it was a population only as different from its cousins as human races are from one another now; and before that it was even less different, but still distinguishable. Such is life in a continuous world.