I certainly don't think it is the Government's job to get someone work but you seem to think someone who make these kind of wages can afford to just pull up and move to a place with more jobs. People with that type of income can't afford to do that. Most can barely keep up with their current bills never mind have the cash to just relocate just like that! I picked up and just moved stakes twice in the last five years, once to go to a better paying job and the second time to move back to our hometown, because of an injury. We've been back here more than two years and we still haven't entirely caught up with our bills. This is part of the reasons my wife went back in College full time. Things aren't as easy as you think they are (or they use to be) to be able just pick up and go, especially with a family. This isn't the depression where you can load your belongings on a hand cart and start walking! It costs big bucks to move these days.
Plus, in the case of the people in Vermont, who are the ones we speak of in this case study, your talking about half the population moving. What makes more sense, mass migration to where there are jobs or reasonable pay for people that work hard at a 40 hour a week job? Plus, if everyone just decided to moved from places with no work there would be an awful big mess in this country. There then would suddenly be more people in these places you say have jobs than there would be jobs. Your idea is great in theory but totally impractical in practice.