I get that there is a distinct cultural bias against Black people (what people call "anti-Blackness"). Living in the south this was quite apparent to me. This is structural in nature, and quite distinct from normal majority/minority dynamics.
But I don't perceive any similar "white privilege." To go to your resume example, I've got a last name that's definitely Muslim, but I've never perceived any sort of difference in response on that basis. (And in myriad areas, from income policing to health, statistically I'm likely to enjoy advantages compared to white people.) I think the concept of "white privilege" is actually a conceptual error that comes from generalizing Black-white racial dynamics to a multi-ethnic society.
Also, to address your point about the KKK member, the left uses "racism" to mean a lot more than just that. Based on that expansive definition of "racism" I'd qualify use of phrases like "unbearable whiteness" as "racism": https://www.vanityfair.com/news/2021/01/the-unbearable-white...