White Consciousness

Du Bois argued that oppressive culture lead to double consciousness for oppressed populations, but a number of other thinkers including James Baldwin and Thandeka who speak of white guilt. This white guilt is the result of knowledge of benefit from a racist system or in other cases the inability to stop or intervene in blatantly racist acts (typically perpetrated by family members). Is this feeling of guilt a second form of consciousness for majority populations? Why or why not?