By your definition, black people can be racist too.
People with beliefs you describe aren't a problem unless the racist has power to act on their beliefs. Some differentiate this as malignant racism, I think it's simpler to just include the power component into the term racism. In that light, in the US where nearly 70% of the population are white, there are virtually no black or brown people that are racist. This could be different in South Africa, although, don't white people still control most of that country's wealth?