The Misfit says that "Jesus threw everything off balance" and that he shouldn't have done it.
By connecting his life with Jesus dying for everyone's sins on the cross, he is trying to relate his story with that of Jesus. Jesus committed no crime in the eyes of most Christians and at least no crime that you could prove and similarly, the Misfit does not understand why a crime was put on him. He says, the difference is "they could prove I had committed one because they had papers on me." He likens his being put (he feels) unjustly in prison with Jesus' being put unjustly to death.
To the Misfit's mind, because Jesus committed no crime and was put to death this altered the balance of things. The Misfit believes you should be punished in relation to the suffering you have endured. "I call myself The Misfit," he said, "because I can't make what all I done wrong fit what all I gone through in punishment." Therefore, he sees nothing in life to prevent him from doing wrong if he is going to be punished no matter what he does.