You are incorrect, and your reasoning is flawed. This argument is pushed by p.c. The DNA of humans and chimpanzees differs by only around 3 percent. Of course not.
Small differences are all that is necessary to distinguish between subspecies.
Their DNA is virtually identical, but they clearly constitute different subspecies. Recent studies of the human DNA shows cultural concepts of race to have no scientific counterpart. That is, human beings with varying skin pigments and other superficial characteristics are not separable into species as are birds or ants or bears. Modern realities of transportation and commerce are creating one world. If we do it right, including everyone, excluding no one, it can be a peaceful world.