In reality this doesn't work, the idea that "as the physical workforce is being reduced, re-school the freed up people into idea producers..."
The reasons are sad, but ultimately, my experience working with all manners of the mythical "poor people in America" (they actually do exist) shows them.
First, you can't just expect people to go from "physical workforce" to "idea producers" because you tell them to. Unfortunately, not everyone is creative. Not everyone is intelligent. Similarly, not everyone is strong or has manual dexterity. Some people are very well suited to chopping down trees, digging holes, and assembling circuit boards. Other people are very well suited to inventing things, drafting documents, making things pretty, and directing/managing. Some people are good at both categories, and choose the one that they prefer, in places where they have the choice. But it is not true that MOST people are well suited to idea work. Many, but not most.
Second, you can't assume that Americans naturally make for better "idea producers" than Chinese etc- if you try to set up America as a country of designers and managers, while having other portions of the world simply be the labor force, you (ie, corporate America) are attempting to set up a global caste system. Very dangerous. Yet, even then, there would remain jobs which must be performed physically and locally. Janitor. Pavement repairer. McDonalds cook. Chef. Doctor. If you set up an economy where "most people" are "supposed to be" concept workers, then you are conveying the social message that other work is inferior, and thus, other workers are inferior. Not a good message for a government, of all groups, to promulgate.
Additionally, consider that, even if they are capable of it, many people would despise office-type work. Myself, I am bound to it by ability (err, by lack of physical ability otherwise) but, especially working with the physically disabled, I meet people all the time who would rather starve to death than work in an office- they would rather build things or chop down trees. Many people feel that they haven't worked if their muscles don't feel it at the end of the day, and in fact, my father, being one of those people, actually looked down on people who worked with paper and computers.