race in general is a culturally liberal position. Look at the states where blacks faced the least discrimination. Chances are, those areas would be in the pacific northwest, Scandinavian parts of the Midwest, and new England. Part of it has to do with the people who settled those areas, but those in general are the most culturally liberal parts of the united states. The areas where blacks faced the most discrimination are probably the most culturally conservative.
Well, I'd argue that Blacks do face discrimination in the very Socially Liberal areas you describe, but just in a different way. Not in the "We're going to lynch you N!ggers" sort of way, but rather a paternalistic inferiority sort of way. Like say, the way a street gang would treat the 10-year-old who wants to join their gang but is too weak/small too--its not that they don't like/approve of them, but rather than they legitimately don't see them as full equals. Another example would be sending a black guy to go do something, but then sending someone else to go help him because you don't think he can do it on his own. This is what Conservatives generally refer to as "Discrimination by lower standards"
This is just from what I've experienced living in White Liberal CA, and other people probably have conflicting experiences, so I'm not going to pretend that this is universal, and will freely admit that it is better than parts of the South. However, I don't think Socially Liberal areas are bastions of color-blind equality that some people like to believe they are.