First of all, you should read The Race Myth by Joseph Graves, as he illustrates the fact that there is no such thing as "race". Secondly, he describes in detail what you just touched upon regarding the connection between race and intelligence -- which DOES NOT exist at all. He discusses IQ tests, which have historically been catered to one population or demographic, and also talks about the origins of race in America.
Basically, you need to completely eliminate the idea of race as a biological categorization from which you can determine culturally distinct traits and/or predispositions. Turns out, the two most "racially distinct" individuals living today only differ by .1% of their DNA, and even still, the vast majority differ by much, much less. You cannot determine a person's "race" through genetics, despite the effort that has been made in the past to prove that you can.
Short answer - Absolutely not, race has nothing to do with an individuals intelligence, cultural interests, or mental capacity.