America wasn’t a philosophical experiment, despite the BS attempts by neocon Trotskyites and other leftists to diminish America’s English roots.
Those English roots are why conservative godfather Russell Kirk could write a book titled “America’s British Culture”.
It’s why the members of the First Continental Congress repeatedly stressed their rights as Englishmen in their October 14, 1774 “Declaration and Resolves of the First Continental Congress” found here:
http://avalon.law.yale.edu/18th_century/resolves.asp
The structure of the new American Republic is the only thing that involved philosophy since the Founders were having to create one. But they looked more to history than they did to airy philosophical theorizing- to Rome and Athens and England for their inspiration- a good book on that is Bernard Bailyn’s ‘Ideological Origins of the American Revolution’
But if you want a real example countries founded on philosophical propositions rather than the Lamp Of Experience then you need look no farther than Revolutionary France and Bolshevik Russia, two shining examples of societies forced on to the Procrustean Bed of Propositions.
The American Founders were all trained deeply in Thomistic moral philosophy. Everything stems from that education. Everything.
Those few who attended the English universities, which were about a dozen of the Founders, were not trained in the best moral philosophy and were not opposed to slavery.