This is problematic from a number of standpoints. I’ll get blasted for saying this, of course.
I doubt many white Americans have really been adversely affected by racism in a tangible way. Some might have not gotten the job they wanted or the slot in a school that they wanted because of affirmative action, and I don’t much doubt that does happen here and there, just as real racism is exercised against non-whites here and there.
But on the whole I would say racism against whites is more a visceral thing among some minorities, particularly blacks. There are places in this country I really couldn’t safely go as a white person, but could as a black person. My greater threat level would be because of my race.
But racism in a much broader sense is absolutely there. “White privilege” is a racial claim itself, just as assertion that “all blacks have an advantage” does. I am said to be privileged solely because of my race, and there isn’t a thing I can do to dispel the negative feelings some have because of that assertion, because I can’t help being white.
I will add, though, that at least in my mind, true “racism” is based on what we do, not on visceral reactions. If, say, a black person has a negative reaction to my presence because he thinks I’m "privileged’, “probably a racist” or because my accent is a bit southern-sounding to a northern black, or any of the things some of them think, I’m not really harmed by that if that’s all it is. It’s when he takes action on it that I’m potentially harmed.
And the same thing is true on the other side of it. I might have a negative reaction to a black person in some circumstance. I might think a potential employee is more likely to work out because he’s white. I might expect a higher literacy level simply because a lot of blacks’ English is idiosyncratic. But if I resist the temptation to act on it and really do look at both candidates as objectively as I possibly can, no harm is done. I might, for example, have each give me an impromptu writing sample in order to dispel my admittedly racist concern. And I don’t for a second doubt black people don’t want to walk into an urban “hillbilly ghetto”.
Personally, I don’t think it’s possible to totally get rid of racism in its very mildest and visceral sense. But I think for the most part we can resist acting on it.