To answer the question- I use 3 different Andersons with my same amp settings- A TAG Classic (strat), a TAG Tele style with 3 P-90's, and a TAG Hollow T- maple on alder with H-S-H. So, I move between single coils, P-90s and Humbuckers with my mark IV. My intent is to have the different characteristics of the guitars come through for different tones and styles, rather than have everything sound like one tone. The challenge is usually in finding a clean setting that makes the Strat shine, while getting just a little fur when I switch to P-90's. Likewise, there is a sweet spot on the lead channel where the Humbuckers or P-90's sing, sustain, and roll into feedback, while the Strat isn't too harsh and has a pleasing lead tone. Sometimes, I need to give a slight nudge on the midrange control. I use channel 2 crunch rhythm tones primarily with the Humbuckers and set it up for those. The P90's work well there too, but the Strat sounds thin, so I will use a pedal as needed or use an overdrive pedal on the clean channel for overdriven Strat tones.
It can be done. Of course, I play in a cover band, so my whole job is to cop a wide variety of tones, rather than have a single personal tone or one style.