I was their guitar tech for that run, I can tell you what they used live and then you could dial it in close, tone match from the recording possibly?
Matt was using a 6505 on the red channel with a Bad Horsey wah, maxon tube screamer, and a boss noise gate for his dirty sounds, his clean was a roland JC120.
Padge was using a Dual Rec on the red channel with a cry baby rack wah, and a JC120 for cleans. Both of them using Mesa tall straight cabs with the angle grill with 421 mics on them if i recall.
Jay was using an Ampeg SVT head in to a Mesa 4x12 bass speaker that looked like a guitar cab. In line, he had an avalon DI, although i can't remember the settings now. He had no other pedals in line. He also ran an MXR DI+ pedal for the more dirty DI signal.
I hope this gives you a fun starting point for creating your own tones!
Calvin