I'm not so sure. We've seen what Pete could do with Drew in 2012 when our roster was in it's prime. This was sold as an upside for keeping Pete, but I think maybe it should have been a warning.
2011 with Payton. 13-3
2012 with Pete. 7-9
2013 with Payton. 11-5
Granted, this seasons schedule is SO WEAK that it would be an embarrassment if we didn't do better than we are with Drew and maybe Drew's skill alone turns some losses into wins. But I still doubt we'd be seeing better overall play across the board.
If this is really just a "Is Drew better than Carr" thing then of course the answer is Yes, Drew is much much much better than Carr.