Rob.- The red car in that pic has single stage paint and I'd often use different stuff to clean single stage than I would to clean basecoat/clearcoat. Which does the car in question have (I'd bet b/c).
Cleaning can be done chemically, abrasively, or both ways.
Got any marring you want to fix?
How dirty is the white paint (or its clearcoat), and what's the nature of the contamination? In othe words, what makes you think "I need to clean this paint?"
Got any orange/brown "rust-bloom_-type stains? If so I'd lean towards using the acidic step of a decontamination system at some point.
I'd approach it the same way I'd do any such project- I'd start with a decontamination wash (I'd probably use FK1119 for this), then the acidic step if necessary, then a claying if a baggie-test shows it'd be beneficial, then maybe a rewash with regular shampoo, and *THEN* I'd evaluate the paint and see where things stand.
Then either a chemical paint cleaner like the Meguiar's Deep Crystal Step #1 Cleaner, or a cleaner-wax like Color-X, or else compounds/polishes (which I might want to use *after* cleaning via chemicals, just depends).