As souls, Davis and Crowe have been alive forever, and have different karmic histories, which naturally results in different scripts with different outcomes.
Troy Davis left something for you (in two parts)
With every highly publicized act of inhumanity such as this, it's beginning to dawn on us that our primordial behaviors are just as beastly now as they were then. Were it not for souls such as the one who came to play the role of Troy Davis, we might still be brutally clubbing each other for sport, and offering the bodies of dead innocents as live sacrifices to imaginary mountain- and sky-dwelling gods.