Best of luck. Make sure you never leave any petrol station without filling up entirely - From memory, Coober Pedy and Alice Springs have 24 hr petrol, but not much else in between. If you end up in Port Augusta, I can recommend a caravan park slightly out of town that will give you an air-conned cabin for about $40 a night instead of an average of $100.
Keep a lot of water, sort out some emergency contacts beforehand. It isn't quite as dangerous as many folk make out, but if you get stuck around there, you're... Basically f*cked.
Done the ride (Uh, no car) many times, and it's quite amazing. Be very careful driving dawn and dusk, as Kangaroos come out around then and love hopping over the road. I dare say, your car wouldn't last an encounter. A truck with bull-bars, yes, but that car... No.
I'd also see about contacting the Royal Enfield Club of Australia (RECOA) and joining. For $30 for a year (unless fees have gone up, that's from memory), you might end up meeting some great folk, getting the odd ride, staying with some good folk. Who knows. We're a good mob! Plenty of good advice.