I said we have the same genes "by and large". Please pay attention.
We may have branched off into different races but, as I'm sure you'll agree, the white or asian races don't represent an "advancement" on the original African humans. We are the same intelectually etc (the usual mark of "advancement" in homonid species) - the change of skin pigmentation and nasal / lung capacity to deal with different climates / altitudes is merely tinkering at the edges. The size of our brains has not changed significantly.
The practical point is, if you were to take a stone age man, at birth, forward in time to 1999, and bring hing up in New-York and educate him at a good school, he'd probably and up being a lawyer or something (or at least he would have the same chance as the next man of following this route.) The differences in his / our societies are institutional and technological - not biological.
McSpotlight: Recognize these words?
"Also, humans have not been evolving for a while. There are currently no genetic mutations (such as a larger brain) that make procreation more likely and therefore spread those genes more prolifically. We are therefore not evolving."
The fact remains that the whole of human history is an eyeblink in evolutionary terms, especially for an organism as complex as homo sapiens sapiens; yet the last quarter of a million years have seen the final extinction of Neanderthal man as well as significant genetic development (as well as behavioural development); it is premature to assume that humanity has ceased to follow one of the stronger laws of nature. Provide some incontravertible evidence...