Also, so much of it is in the phrasing. Do a ton of trills and grace note slides and the like, and you'll be shocked how close you can get in vibe... Check out some of Satch's free time intros ("Cool #9," "Time," etc) and Neil Zaza's melody to "Zen, Karma, and Other Good Things" and compare it to some indian sarod playing, and you'll be suprised.
Also, a light crunch tone can help get that "buzzy" vibe while phrasing this way... or, a peizo output, the brightness and extra buzz is invaluable for copping the feel.
Phrasing, not tone, is the most important aspect, IMO.