I have been able to get really pretty close to a lot of popular Tool tones using just the HX Stomp and a Stingray. That gives the option of signal splitting, Rat, EQ, and GK amp/cab sims all in one. It's not exact, but I'm honestly not sure that if you gave me a Wal, JC's amps and pedals and let me tweak them all myself and play that I'd get any closer.
The main issue for me is that I have never had the discipline to learn how to play with a plectrum, and that attack and articulation is a huge component.