Have you considered why Amy Cooper called the police on a black man for making the heinous crime of asking her to leash her dog? Why there are white people calling the police on black people that did nothing wrong?
And there are many ways that the average white person benefits from mass incarceration: prison labor, electoral over representation, not to mention that I strive to have empathy for others.
It seems reasonable to say that Amy Cooper was being bigoted, but I'm not sure how that relates to the OP's saying that everyone who happens to self-identify as white should be doing penance for somehow "benefiting" from a grossly unfair system.