To relinquish your White racial classification does not relinquish you from accountability - in fact implicit in the sincere revelation of this truth and acceptance and subsequent action is that any former "white" person should realize at the very least they are accountable for considering themselves White for all this time and letting the consequences pass by unchecked.
as Aaron said- they would "realize" their imposition on the world- again this is not a matter of blame its a matter of accountability.
This isnt necessarily about middleclass whites either- the power struggle is held in the hands of very rich white men. By breaking down the system of majority that empowers the rich white people who will cling determinantly to that class (y'all are realizing that a subversive class system is what we're talking about by this point right?) They will be forced to either comply to demands for social repair or will become even more repressive and dangerous.
In either case the results will fall more evenly on the heads of the people and not just the Black and colored and foreign people- as it has done for quite some time now.
We're not asking whites to stop being white just so they dont have to feel guilty. We're asking that they join US in the fight against the oppressive intentions of those who wont. At the very least we ask that they stop supporting them in such a pervasive fashion.