I think you have the right idea at heart, but are somewhat misinformed. I will not deny that racism is still a problem, and that many black people are mistreated for no reason besides the color of their skin. I strongly oppose this, and will stand side-by-side with you to fight it. That said, I think that chasing down white privilege is a waste of time and distracts from the more important cases of blatant racism.
In America, we have finally reached a point where there is no systemic advantage to being white. Any advantages that white people may still have are only due to cultural or individual preferences, and there are only two ways to fight those: the first is creating laws against thought crimes (which would be absolutely terrible), the second is to graciously reason with people (which would require more patience and less accusations).
If you wish to support real equality and make a difference (and I believe you do), then I would suggest that you stop preaching about the terrors of white privilege, and start supporting free, privately-managed, volunteer-powered education for people in rougher neighborhoods. The inequality you see is (in most cases, not all) not from the color of people's skin, but from cultural and educational differences.
I must admit that these are points of advice that I am still learning to follow. I'm doing what I can to learn, but I still have a long way to go.