Axioms:
1) Money is only useful to it's holder insofar as someone else is willing to exchange it for services or goods.
2) A nation cannot function without enforcing its laws.
Theorems:
1) The primary aim of government should be to uphold existing laws (hopefully you have a good constitution), and to amend laws as the world becomes more complex.
2) Economics tells you how to allocate resources as cheaply as possible. If a moral philosophy is not overlaid ontop of economics, eventually the world will be full of cyborgs way more efficient than us.
If you accept these axioms and theorems, you can prove that Ayn Rand's "philosophy" is unsustainable. But then so is Adams Smith. Ok, I am oversimplifying a bit, but this is all theory anyway.
What the founders of the US gave us is an algorithmic government that has positive feedback, all the while putting the well-being of
all it's citizens explicitly at the center of it's laws. This they did by enacting a constitution that allowed a people to self correct and overthrow bad leadership. They gave us a very clever set of laws that allow
all of us to "hill climb"
http://en.wikipedia.org/wiki/Hill_climbing
towards higher prosperity [in fact, they understood all to well and expected that certain groups would do better than others, and that embedded in the constitution is the idea of one man one vote - ergo, the poor will can always reboot.] In other words, the founders did not say, we know what the answer is and we are going to impose this philosophy or that. Instead they stayed away from philosophy and they said: give a nation a way to search it's optimal prosperity space. Recessions knock us out of local maxima (interesting that this is an emergent property,
http://en.wikipedia.org/wiki/Emergence since there is nothing in the constitution about it.)
It is not in any political philosophy that you will find wisdom, but in a moral philosophy. I believe the US constitution to be the supreme example of a moral philosophy implemented in reality. How we have morals, and still allow the exceptional to succeed (money, fame, whatever floats your boat) is very hard.
On a final note, Godel proved that the US constitution was logically flawed:
http://leiterreports.typepad.com/blog/2005/02/jerry_dworkin_p.html