Maybe get a uController in there somehow too
You could use an Arduino to control the pots for tone (maybe other things too). I recall some mixers used motors to physically set sliders to selected positions for presets. So your Arduino reads the position of the various setting pots and stores that, and then drives the motors to reposition. Or use digital potentiometers, and rotary encoders to set the values. Or some combination of all that. I suppose you could also use electronic switching for effects (also part of stored presets).
Nice axe, btw. Sadly, I no longer have my Les Paul. (Not that I was ever an accomplished player; have talent, just never really worked at it.)