Meshuggah aren't a stoner band and nor are they fuzzy. Also as far as I'm aware they haven't had a bassist for a long time and all the 'bass' is from their eight string guitars going through whatever hi gain amps they use.
I'd suggest a valve head and something to really take the gain up another level. Maybe a Proco Rat? I'm not up on my hi gain bass distortion pedals anymore.
I found a Line 6 DM4 good for a few different distortion emulators.