What you said about France is absolutely not true.
Article V of the French constitution:
> The law has the right to forbid only actions harmful to society. Anything which is not forbidden by the law cannot be impeded, and no one can be constrained to do what it does not order.
Given that the US constitution was greatly influenced by the French one, and given France's influence and substantial aid in helping to establish the USA as an independent country it's hard for me to imagine how anyone could believe this, unless they were completely unaware of both French and American history and culture.