Now sure there are a number of people who don't report and those who wish to work more. But I don't think it's going to be easy to get those people back into work. Most are either in industries that are disappearing due to automation. Or they lack the skills/training to re-educate themselves.
And without tariffs (which will impact exports) there is little chance of US being all that competitive in most industries that compete with Asia (I assume you actually mean China).