The reason some white people don't consider themselves racist is that they are using a different definition of the term.
I don't believe white people are superior and I don't personally act is if I do, therefore I am not racist. If having white privilege and bandaids that match my skin color is racist, well, then I guess I am.
The problem now is that we don't have terminology that separates the first kind from that latter. And, I don't much care for being in the same category as the KKK.