Odds Against Tomorrow or The Mark?
Both movies deal with two people of different races trying to accomplish the same goal. Unfortunately those differences get in the way of their achievements. "The Mark" is a 2007 film that bears a resemblance to this 1959 heist film. It has not had a wide release yet, but can be found in its entirety on YouTube.
http://youtube.com/profile_videos?user=Yagamuri18&p=r