Here are the definitions and some key points about them:
There are two basic definitions of racism in the United States, one roughly associated with progressives and one roughly associated with conservatives. The former describes racism as the failure to acknowledge and seek to redress systemic discrimination against select disadvantaged minority groups. It is very broad and captures everything from unconscious bias to white supremacy. The latter views racism as making assumptions about, or taking action towards, an individual or group on the sole basis of their race. It is narrow and generally requires belief, intent, and animosity.
These definitions don’t simply differ; to a great extent they actually contradict each other. Much of the contradiction stems from the fact that the progressive definition of racism requires that an advantaged individual or group must be attacking the less privileged. The more conservative and narrow definition of racism requires no appeal to power structures, only to bias, and can be committed by anyone towards anyone.
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There is a double standard here that progressives don’t actually deny. It is, in fact, baked into their definition of racism. Under their rubric, the definition of racist has a double standard precisely because society has double standards that they argue overwhelmingly disadvantage the less privileged. It is internally logical and consistent in a way a lot of conservatives don’t quite understand.
On the other hand, those on the left are often shocked when polls show that majorities of white people believe that they are discriminated against in the United States. They will point to economic data, political power, and cultural representation and say, “You people are crazy.” But under the narrower definition of racism, it makes perfect sense. These white people are reacting to the fact that they can be attacked on the basis of their race in ways others can’t. In addition, whites — and increasingly Asians — look at programs like affirmative action as inherently racist.
I think he's done a good job in teasing out the definitions and why conservatives and progressives misunderstand each other on this point.
What to do about it is another thing altogether.