While that sounds at first glance like it would be a good solution, I strongly suggest you read the book Hard Landings, which details the rise of the airline industry along with the rise (and fall) of government regulation. The era of big regulation was riddled with some of the most egregious corruption and ineptitude you could imagine. The industry as a result was a fraction of the size it is today, which meant that only the very wealthy could afford to fly (so it was bad for the country), and most people who dreamed of becoming pilots would never get the opportunity (which meant it was bad for your career prospects). Sure a few lucky guys got to play like royalty, but trust me, you wouldn't want to play those odds today.
Actually, the solution is to remove the chapter 11 bankruptcy process altogether. Don't allow the subpar managements of the industry to breed. Only the best-run companies (like Southwest) would survive, and you would actually want to work for them, and there would be more positions available there. So LESS regulation, not more fixes this.
Well said.