Yeah it is. But I'm not sure if I'd like it.
My ideal would be:
White male late 20's. Just got out of jail after a Mafia sting, and is welcomed back to the family. But. You don't start off on the bottom rung. You start off near the top, and the family is killed from the top down, sparing you, say 1/6 into the game. You then rebuild your family and take back the streets, finally becoming Don at the end of the game.