Disagree still. I did not say all white people the same amount of white privilege. For example, "white trash" don't have as much privilege as non "white trash." You are just trying to rationalize.
You are white, and enjoy white privilege. Is it as much as a WASP? Nope, but such is life. Not all white people are equal, after all.
The "privilege" white people have is the default, it is everyone else who is treated worse due to their skin color. Therefore, if you are treated better than say, the darkest, most "thug" person, who also happens to be dark skinned, and that better treatment is due to your skin color, then that's white privilege, and therefore you're white. There's no use even debating me, there's plenty of evidence in the literature. Any disagreement you have is just a way for you to act like you're the same as some other black folks without fully acknowledging your privilege.