This is an interesting idea. What jobs would not exist on the free market? Let's just take, for example, a traffic engineer. Someone whose job it is to make sure the network of roads runs smoothly, interconnects between states and more or less provides a consistent infrastructure for the transportation of goods. It's quite possible this wouldn't exist in the free market, just look how long it's taken to standardize the web. Of course, we were able to standardize on TCP/IP, but that was probably government influence.
I'm not trying to troll, but I'm curious how different the world would look if we left things like infrastructure to the free market.