I've lived in both Atlanta, Georgia and Washington D.C. both of which are pretty racially diverse cities.
The only "racism" I've really noticed just talking to people isn't so much against a race as it is a group of people. Most people I work with, all of which have college educations will complain a lot about beggers who harrased them on the sidewalk or less-educated people who said something stupid. It just turns out that in big cities in the US that the poor, less educated tend to be blacks.
My work is pretty racially diverse as well, but there is a group of white men who crack semi-racist jokes about black people (even though there are several we work with). One day I suggested to them, in a joking (but actually serious) way that it isn't necessarily "Black People" who annoy them as much as it is the poor uneducated people, and pointed out several of our black co-workers who they all agreed were cool.
So now, they use the term "PUPs" which stands for "Poor Uneducated People". I suppose that isn't racism, even though I wouldn't say it's politically correct either. Personally, I share some of the same annoyances. I feel genuine sympathy for people (especially kids) who are in that situation and do my best to help them out...but I really don't feel bad for that high-school drop out who was too cool for school and now blames all his/her problems on the "Man" or "System".
As for having met people who generally dislike an entire race just because they are that race? I'm from the backwoods of Georgia where confederate flags aren't a rarity and it has happened. But trust me when i say they are a minority and just about everyone (except for their friends) dislikes them.