@Ghost Actually, that's sort of the irony of the argument.
When phrased that way, it very much suggests every white person acts with intentional and abusive racial prejudice.
It is actually intended to refer to the argument that all white people benefit from white privilege, and white privilege came about because of centuries of institutionalized racism, regardless of how fortunate or unfortunate in any other way that white person is, and regardless of how they feel about or treat someone of a different racial origin.
It's not actually hard to explain as a concept, and it's not even terribly controversial these days.
Instead of saying 'all white people are racist', say: 'a long history of racism over a period of generations, through which they were the only people with certain rights, white people gained a number of social and financial benefits that people of color do not have by default as whites do' and, imagine that, suddenly people are curious about what and how (whether they agree or not at the outset) and are going to be a lot more willing to engage in discussion of the subject than they would be if they think you're saying that the reason they have to cut your coffee date short is because they just can't miss the start of the Klan meeting.
It's a pretty easy topic to have a sane discussion about, and yet a lot of the people who have gone out of their way to learn about it do use the academic shorthand, and in the process, completely lose sight of the fact that the shorthand comes across as a personal attack to people who were not sitting there in class with them to know what it's shorthand for.
You don't often successfully get people to listen to you about anything by alienating them as your opener. In other words, sometimes academia makes people impressively stupid with the more someone learns.