When I first started playing this song, had the same problem. I was just bending the G string, not doing a B and G string unison bend. Not sure if this helps, but that helped me when I figured it oht
Just crank your mids all the way up, tone down the treble, get a fuzz pedal and set the distortion to the lowest you can while increasing your amp's gain until it sounds right without clipping. The brand of your amp also does matter. To get close to Homme's tone, you shouldn't use a tube amp.