The LRHRN video sees the following set up:
Ernie Ball MusicMan EVH - DiMarzio custom pickups.
Bob Bradshaw Rack Unit w/ Eventide Harmonizer, Various delays, chorus units.
Peavey 5150 heads and cabs.
Ed runs a wet/dry stereo setup.
The best way to approximate this sound is with a humbucker equipped guitar into a 5150 with a Boss Harmonist pedal in the loop, set the pedal to +/- at 0, this gives a slight widening effect.
Try and get a hold on van Halen live at the ten spot, mtv recording on the VH3 tour, his tone is a million times better and purer than the LRHRN.