I understand your thought, Carrera, but I believe you have the cart before the horse. France is not independent because of its nuclear arsenal - it has a nuclear arsenal because of its independence. There are plenty of Nations (sans nuclear) which show independence in their stands on World issues. Having a nuclear arsenal is not a pre-requisite to self-determination.
France's nuclear arsenal, and its predilction for blowing up innocent tropical reefs (and small ships in New Zealand) is a reflection of its independence. It is not the cause of it.
I do not know of any Nation on Earth (except for, maybe, French Polynesia) who feels that it must be careful in its dealings with France because of France's nuclear capabilities.