Thanks for the info... nice to know! Funny you mention the push-pull pots. When I started looking around at SZ's for sale I ran across one on ebay that had coil taps for each pickup. Using the individual volume pots I assumed. Interesting...
The good thing about the push pulls is that it gives you two guitars. One has the regular 3 position switch with two humbuckers. The other gives you the 3 position with two single coils. The big problem is that there's a large volume drop off. I pretty much either stay in humbucker mode or single coil mode and tailor sound around either type of pickup.
With the Peter Green mod, you can still get that Fenderish sound but without too much drop off in volume. There's still a dropoff in the middle position when you get the high end and quack tones so you have to try it first and see if that much dropoff is acceptable. It's still not the drastic dropoff of simply cutting off a coil which bothers many players. Yes, a split humbucker gets a single coil tone but it may not be useable if switching back and forth between that and humbucker in a live situation.
Basically, the dual humbucker sounding like a Fender was an accident and botched up repair job from Selmer's when Peter Green took the Les Paul back to the store to fix the broken neck pickup. They took the pickup apart completely but accidentally switched the magnet AND put the neck pickup in upside down. It was really sloppy repair work but the result was a Fenderish sound in the middle position with the two humbuckers. From that mistake, music history was changed and it added a dimension to the Les Paul which was once considered only Fender territory.
I do remember the first time I heard this Green mod sound with Jimmy Page and I initially didn't like it because the middle position clean in his Les Paul sounded anemic and oddly like a tele which a Les Paul should be the opposite of. Later I found out Jimmy used a tele in the early days and on and off throughout his career in the studio and the out of phase mid position was Page's attempt to get a tele-like sound in his Gibson while playing live.
Your guitar is the perfect specimen to do a Peter Green mod in other than having the two buckers, it has the bright and hard maple sandwiched on the deeper sounding mahogany and all in a set in neck for sustain. The neck is bigger which helps with the sustain and warmer tone, too but the Green mod, if you choose it, can add the high end that a guitar like this tends to be missing. Other than Peter Green using a thick and warm Les Paul with a bright sounding mod, the only other counterintuitive move which changed the electric guitar's basic boundaries was when Eddie Van Halen popularized the full sized humbucker in a strat style guitar with bolt-on neck.