I'd also recommend VB3, although you might want to try some other amp sims with it. Lord's unique sound was obtained by running his (modified) Hammond through a Marshall head into a Leslie cabinet.
Although VB3's distortion feature does a good job of emulating a Leslie amp, it's not quite the same as what you get from a guitar amp.
He did have the organ modified so that he could play an RMI EP from the organ keyboard, which nowadays wouldn't require a soldering iron, just a MIDI cable. If you want to duplicate the effect of Jon's RMI, there are decent Kontakt libraries and you can use VB3's effects (they come as a separate plugin) to dirty it up.