200 years later, with a population that's multiplied several magnitudes over - would you expect to still see a completely equal people? I wouldn't. People are different. And each child that is born is different, even when born to the same parents. Even identical twins are no longer completely identical by the time of birth. These differences express themselves in different ways (and wow was that the most tautological statement ever), but the point is that I think it's highly illogical to expect to see equality.
Out of genuine curiosity, do you disagree?
I would. South Koreans are 2-3 inches taller than North Koreans, plus a miriad of other biological differences, in a relatively short span of time. This is for the same ethnicity, yet alone race.
For me, that alone is proof we are much more similar than we think, and environmental factors, which your hypothetical scenario accounts for perfectly, has a much greater impact on us compared to genetics.
Which is why, for perfectly randomly selected humans raised identically for 200 years, I would not expect significant differences.