Is it normal to have a completely different swing for my driver than my wedges?

Hey Burns you can relax you're perfectly normal. You sound like you always had a single axis swing; you know like the stack and tilt that's all the rage. Well this swing has been around forever and produces as you describe a steep angle of attack and solid contact with the irons. This swing also produces a very consistent ball flight and distances with the irons however one of the drawbacks is the steep angle doesn't work to well with woods especially the driver so what to do. The driver has a flatter lie angle than the rest of your clubs so it's natural to let yourself swing on a flatter swing plane and let yourself sweep the ball with your woods producing on line drives that react to the loft on your driver. Absolutely the right thing to do ; also right is to swing the irons on a more upright plane and hit down on a steeper angle as you used to do. You practise lots so being able to control both your irons and your driver should not be a problem as you'll be using the same swing but changing the angle of attack only. I like your choice of driver and player's blades. Lower scores are just around the corner. Good luck.