Like Greenking said - AWESOME Animation, but L.A. Noire is such a great game and gives you better opportunities to be funny than just make a parody over the most stereotypic (already made dumb enough to entertain in the game) person in the game. The character itself is a parody, there's not really a need for parodies over parodies. It's like the shitty 300 parody (don't know the name yet)...wants to make jokes on an already ironic movie.
Please don't missunderstand me - i love your humor. You proved me several times which good sense for humor you have. But because of that, your standards should be higher than "average". Losuurx has it right: Just take Rusty - he would be perfect!