The swing plane and arc does change from club to club slightly. The driver is on the most incline compared with your wedge, which have the smallest arc.
If you set up a wedge middle iron and a driver together in you hands, you can definitely see that the arc will be different. The putter actually has the steepest plane.
For Mike he feels that it only changes a little bit, because Mike feels that his arms are swinging on the same arc.
When you set up to the ball, hold the club above the ball and let the weight of the club drop in behind the ball. Then you make a swing from there. When you move to a sand wedge, driver and repeat the setup process, you will notice a slight difference in the arc.