OK...here's what my PRS looks like inside:
View attachment 74364
Much simpler wiring.
I can see any number of areas where it looks like the wiring in your guitar could be shorting out. You have the tone cap between the volume and tone pots and it looks like it could be touching one of the shielded cables for example.
I don't think Dragon II pickups are going to give you what you want if you don't get that wiring cleaned up first. But they are excellent pickups.
The neck is an alnico 5 PAF style pickup wound to about 8K. Very nice pickup. Great cleans for chords and great overdriven tones for Santana-esque solos. A typical, really good, alnico 5 PAF like pickup.
The bridge pickup is too hot for my tastes but actually sounds very good. It too is alnico 5 and it's hotter than the bridge pickups in my Pearly Gates and APH-2 Slash sets but not as hot as a Duncan JB.
Looking at your wiring, I'd unsolder every connection and clean all of the terminals and remove all of the excess solder so that I'd have nice clean surfaces and holes in the terminals to feed wire through again.
I'd also remove the push pull coil splitting tone pot and just put a standard 500K pot in there. That looks like a real rat's nest in your guitar and could be an area where something's shorting out or incorrectly wired as well.
IMO, you need to clean up that wiring and copy the wiring in my PRS Singlecut. Except for the new APH-2 pickups in that guitar, it's stock PRS wiring.
That's what your wiring should look like.
BTW, if you look at the tone control in the photo of my guitar there's what looks like a brownish red wire but it's actually the tone capacitor seen from the edge. One lead is soldered to the back of the pot and if you look closely you can see it. The other lead is soldered to the #3 terminal of the tone pot just to the left of the middle terminal.
The #1 terminal of the tone pot, to the right of the middle terminal as viewed in the photo, is empty. Nothing is connected to it.
That green colored cable is a shielded cable with the ground soldered to the back of the tone pot and the little white center wire soldered to the middle terminal of the tone pot.
The other end of that white wire inside the green cable is soldered to the input of the volume control. So is the white wire inside the red cable leading from the output of the switch.
