I found when I put split Super IIs in my guitar that they're really the key; the amp, the cords, the effects, the speaker and the cabinet are all kind of finishing touches. The tone of those Super IIs just nails it, pretty much regardless of what amp you plug into.
But in the end it's all about high treble, no bass, and that way Jerry plays that's almost like an exaggerated version of Monk's piano playing -- like each note is barely eeking by, which makes it sound amazing. It's like he's playing along the edge of a razor blade. Fuckin' fearless.