Is there anything I have to do to remove the ice maker other than shut off the water and remove the unit? I figure I need to loosen the three screws to the ice maker, unplug the connection and it should come out easily. Am I missing anything?
Yep, you got the right idea, but you will not need to shut off the water.
If you were going to remove the ice maker water valve in back of the refrigerator you would need to turn the water off. You will only need to remove the ice maker inside the freezer so you can leave the water on.
Unplug the refrigerator and remove the three screws.
Once you have the ice maker away from the freezer wall you will see were to unplug the ice maker wire harness.