As long as the idea of races exists, there will be racists. Some people will always associate "different" with "bad," and we would no longer be human if this were not true. Better, perhaps, but not human.

In order to eliminate racism, races will have to disappear. Since there are currently ways to distinguish between races based on physicaln appearance, this would need to go before the concept of races goes away. There are two ways to do this: Genocide, to eliminate all but one racial appearance, or blending to the point of conformity. While the first is clearly far worse than today's racism, the second would herald a lack of cultural diversity as well. Further, it would have to proceed to the point where no definable differences exist between people, or appearance categorization would continue. This is also not an acceptable solution, in my opinion.

The concept of eliminating racism through acceptance of a single religion's doctrine is actually rather frightening. Religious disputes have caused far more strife throughout world history than racism could even conceive of. Any belief which says "Everyone MUST accept others" is teetering on the brink of a long, ugly fall into hypocrisy.