I dont think the American dream is money, I do think that money and striking it rich became the American dream during the Cold War, for propaganda reasons the establishment wanted to promise everything that was or seemed to them to be contra the commies and their ideas.
To begin with the propaganda battle hinged more on God Fearing Christians versus Godless Commies but over time it sort of went to the lowest common denominator, money, I'd say that this is the capitalist dream though, its very different from what is the American dream proper.
I think the American dream proper is summed up by the Gadsden Flag "Dont Step on Me", is about being left alone, the government and the neighbours staying out of your affairs, that's it, on that score the state and sociey isnt delivering so the dream is pretty elusive but its much more circumscribed a dream than riches, happiness, equality for all etc. etc. etc.