There are some big suppositions I'd like to challenge; firstly benefiting from something is not the same thing as actively taking part... so yes, whilst we can argue that white people have benefited from institutionalised racism, I don't think we can lay that squarely at the feet of all white folks - and to do so, regardless of their disposition, actions, thoughts or intentions does little more than confuse the conversation.
Secondly, I think by continuing to parse out different systems of privilege we fail to acknowledge the complexity of the holistic state of affairs. Yes, white people may have benefited from white privilege - but should such a thing be considered separately from financial privilege, health privilege, or sex privilege. When we force the discussions down the rabbit hole of niche interest pissing contests - the conversations go precisely nowhere. How does society compare and contrast an African Prince, a Jewish American woman and a trafficked asian worker? If we consistently focus discussions on one aspect of identity all we do is travel in circles insisting upon a hierarchical priority of suffering.
That's one of the reasons I'm a Penguin. You have to read what I say rather than consider who I am to say it.