"The Lone Ranger and Tonto Fistfight in heaven"

This story was about a Native American who wanted to fit in society, but it seems as if all the white people were downing him. He would always encounter a position where he was beat by a white person. He had a girlfriend, who was white and they didn't get along. He would have bad memories about her. I did not get why though. He also used to be very good at basketball and one day he went and practice at the gym. Until later a white kid asked for a one on one. They played a game and he had loss the match against this  white kid. The white boy was actually better than him! A white officer told him that he did not fit into this society, which made him feel even worse about himself. It seem as if every white person was degrading him and he only wanted to fit in. He had a dream that all wives had died. I still do not understand the meaning to that or I cannot seem to find it. The title meaning to this stories says that, he had two personalities.  One personality was that he wanted to fit in with everyone else and the other personality was him facing his fears and not wanting to face his problem. This story happens to many people in the world, just with different situations.