Je vous aimez... moi non plus

Interesting little lingusitic/formal conundrum here. If you met Sarkozy, would you call him 'tu', 'vous' or 'chou'?

I haven't much to add to the debate except this observation. In Jules et Jim, as I remember, the two title characters address each other as 'vous' throughout. Jeanne Moreau gets a 'tu', however.