The difference in people's physical appearances (their skin color, bone structure, etc.) are not as a result of being different 'races.' Race is a cultural construction, not a fact. Humans are just humans, and when humans that carry certain features reproduce amongst themselves, certain features will become more prominent and characteristic of that community. There are different breeds of moneys and apes, as there are different types of dogs.
To answer your question, different species of moneys do not correspond to different human races. There are varieties of Australopithecines that arose between the apes and humans, but they did not survive to modern day. Humans arose from other humans, the differences in their skin color and appearances arose from genetic drift (like polydactylism is more common among certain amish populations since one of the founders carried the gene for it, and the gene spread around).
anthropology student, u of m