There is of course Adam Smith's invisible hand, but I believe in a rather larger number of them than the one associated with "greed is good" in relation to money. In the political sphere, if you translate money to votes one can imagine the invisible hand of democracy ensuring a country's well being, where even a well-meaning dictator, Pope or whatever cannot self-adjust to changing political, cultural and economic landscapes.
The real problem with promoting invisible hands as a "fact" as opposed to "unproven theory" is that, like black holes, dark matter and truthful politicians is that they are invisible. One can only look at the indirect effects and claim them as due to economic structure rather than direct visible action by a particular entity. Just as I grudgingly think that we should take the cosmologists word as to the existence of black holes because they are the experts; we should trust the economists when their studies show that lower awards, zero tariffs, less red tape etc. etc. are good for the country as a whole, and the compensation for those that may lose is cheaper than the cost of not making these changes.