I don't know, under-center vs. shotgun can be a huge topic all by itself:
-Under center QB sees the movement more quickly after the snap, which helps him determine whether or not to hand-off and which side to scramble toward. Hand-offs are a little more slow, but the runner is in stride at the time.
-In the shotgun, the QB sees more of the field before and spot secondaries more accurately. He reads through his progressions more rapidly. RB's take the hand-off more quickly, but need time to get up to speed. However, the RB's do have more of a chance to see a whole, and non-traditional running is much easier.
In short, it is easier to throw out of the gun, but more difficult to run. Although the number of running options (under a quality play-caller) is greater.
I think that we all forget that the change-up in offense that we gave ILS is what gave us the ground, as we are certainly not built on O or D for that style of ball. Obviously, neither was ILS. With a running QB, Monty has up to 5 rushing-options on the field at one time ...not going to happen under center unless you reverse and I do not like pitching or running the ball backwards, too easy to lose yardage.
We will have to recruit entirely new players for the more traditional style. Wider/heavier linemen, not faster. Larger, stronger RB's ...probably will be a bit slower. We are set at TE, but in general they need to be more sound in the progressions and less in receiving ... bigger would not hurt either.
Defense is where we would have to make the most change; more about power and less about speed. We all remember what Wolford did when he did the opposite ...went from a Heacock more power defense to a Florida (remember our first DC under Wolf) speed D. What was it 30+ player losses? We all can say that it makes no difference what offense you run as defense is defense ...but we would be kidding ourselves. Remember a defense plays against it's own team's offense about 90%+ of the time. So a power-O requires a power-D and vice-versa.
In short, I grew up in NE Ohio and I like smash-mouth ball; but I have to live in 2016, no matter how much I dislike it's football.