It's along the lines of; they also know that black people cannot "help" being born black, but they still don't want them to move in next door.
And in a way, this is a more "honest" version of homophobic bigotry. The "hate the sin, not the sinner" faction are lying, and they know they are lying, to themselves and the world. But itz abowt lyin' fer jayzuz, so that's okay, see?