No, whites are much more likely to support black candidates. Blacks are MUCH more racially driven. I was a big proponent of Alan Keyes for instance, I loved that guy, smart as a whip, the only reason why blacks usually vote white is because THEY HAVE TO, there are so few black ones.
CASE IN POINT: But Blacks by and large did NOT support Alan Keyes, despite being black, because they saw him as an Oreo, a republican, but given lots of blacks AND whites to choose from each election cycle, you'd see blacks far more often picking (liberal) black people BECAUSE of their skin color (as an advocate of "black" causes (putting blacks first)) over white people who are much more likely to pick their candidate based on QUALIFICATION, ignoring or regardless of skin color.