On the focus of racists

Last week in class someone asked “Who here is a racist?” A few members of the class raised their hand in admittance to viewing themselves as a racist. Their reason for viewing themselves as a racist wasn't due to white supremacist views, but rather by means of being a white individual in a society with racist institutions. I can only speak for myself but using Taylor’s definition of racism as “an unethical disregard for people who belong to a particular race”, I stick with my belief that even if I live in a society with racial injustices, I am not a racist. If I was refusing “refusing to respond to” these institutionalized forms of racism, according to Taylor I would be an “indirect racist”. By this logic I am under the impression that even those who called themselves racist in class are not even indirect racists in this regard. We may not be organizing protests outside of Gratersford (yet), but I think it is safe to conclude that considering we have all signed up for Philosophy of Race we are aware of racial problems within our society and are actively educating ourselves on said issues. Therefore even though I am not affecting meaningful change within our prison system for example, this does not make me an indirect racist because I am still responding to the situation through education and advocacy.