On the issue of race, Giuliani is actually to the right of the other Republican candidates since he isn't afraid to antagonize Al Sharpton and other black leaders.
I remember years ago, when the press complained that Rudy was essentially not sufficiently self-abasing regarding blacks and their complaints about his administration, he refused to back down, maintained his composure, and replied simply "I don't relate to people in that way," meaning racially. I have always admired him for that.