The problem as many anthropologists see it is that the word "race" represents a group of characteristics, but depending on which area of the world you are in the characteristics shift. So the idea of what constitutes a race (using the old race taxonomy) is a social construction. Race doesn't fit within the Scientific Classification - being "Caucasoid" isn't a Kingdom, Phylum ,Class ,Order, Family, Genus or Species. If you think about dog breeding , for example, the standard of what makes up a "good" breed was established by people for practical or aesthetic purposes. I'm not against classifying humans but I think the old taxonomy is dated and in reality we could probably make up tens of thousands of groups to put people in. But as humanity is increasingly mobile and not tied to geographic areas, one wonders if such a pursuit is in vain. Heck, Im as Heinz 57 myself what race would someone stick me in?
I have always liked what Abe Lincoln said about his ancestry.
"I don't know who my grandfather was, and I am much more concerned to know what his grandson will be."