I agree with your first sentences. Now you need to work the reality of the capitalist class system into your understanding of power. It might help you understand why poor black and white people are equally likely to be killed by the police while rich black and white people are equally unlikely.
A favorite quote:
"I believe that there will be a clash between those who want freedom, justice and equality for everyone and those who want to continue the systems of exploitation. I believe that there will be that kind of clash, but I don’t think that it will be based upon the color of the skin." —Malcolm X