Ugh, it is NOT THE EQUIPMENT it is NEVER THE EQUIPMENT. It's not how you set your pickups, it's not what your amp is, it is not the strings, none of those things are as distinctive to your sound as how you use your fingers.
If you want to sound like Les Claypool, spend thousands of hours practicing the way he does it. Then, you can sound like him with practically any gear you use.
I've been doing a lot of tone work lately. I put on a metronome and I just thump notes, 8ths, for 10-20 minutes at a time, and while I do that I fiddle with the attack of my right hand and listen to how things change, depending on the angle.
I took the DR hi-beams off my Jazz bass, and put on some GHS brite flats. I still sound like me, though the difference between the strings is night and day. It's just a different color of crayon. I also know more what "me" is supposed to sound like because I spend so much time just listening to my 8th notes, hearing the shape and weight of each of them.
If you want to sound like another player, listen to the shape, weight, articulation of the notes he makes. Forget about the gear. Within reason, almost any gear will do, especially if the person you're emulating is your "hero" so to speak, you're likely to have gear that will do the things you want it to do, or close enough.
The singer's voice is not in the microphone, or the pre-amp, or the reverb. Why would the bassist's voice be in the strings, or the pickups? Those are just vehicles the player uses to get at what he wants to hear.