My interpretation of the American dream is I believe the mainstream interpretation of unlimited financial success that can be achieved in a lifetime through hard work and ingenuity in a fair market.
But there is no such thing as a fair market any more, unless you come up with your own unique product or service. Most is large monopolistic entities spanning countries and continents.
About the line I quoted above; the system is still determining what one is entitled to (for the masses) and letting the super rich run wild. Think about "employees" and minimum wage. The standard of life for these people and what used to be the middle class has been going down for decades.
But you know what? A proper system will determine what "you are entitled to" in order to preserve what is around.
If you are competing like an animal, your size and strength will determine the "property" you will have and the number of females you can breed with, but it will be all withing reason.
In our fucked up world you let someone lay hands on hundreds of square kilometers of land on all continents he is interested in, you let him strip this land with the help of others and convert it into whatever he wants and keep everyone else out, not with his presence and physical strength but with the laws he has created for himself. He also has the ability to prolong his life by decades. And this is what leads to the disaster we have today.