Do you have Distortion set to Global, or Per Rig?
Changing the Global Distortion Sense is likely too slow if you are changing guitars live, unless you copy the Performances, and adjust the copies for the higher output guitar, and use them when you are using that guitar.
Or, there is the old school approach. You can try lowering the pickups on the louder guitar, to make output a similar volume to the other guitar. If you count the number of screw turns, you can return the pickups to the original positions if needed.