The one thing missing from Parcells' list is - won at every level he played. There are lots of college QBs that have size, arm, and smarts, but the great ones refuse to lose (Kelly, Marino, Staubach, Stabler, Elway, Peyton Manning, Tom Brady). I say the personnel rep should challenge the guy to a game of ping pong and see how he treats it. If he absolutely must win, that's your guy.
Also, we do need a cold weather QB. Sure, we don't get snow but maybe once or twice, but it gets really cold in November and the winds make it worse. Kelly was perfect and I think Marino would have been good too.