The article's main point is that the old "rule" that you could get ahead by getting a college degree has changed. What's changed, regarding job destruction, is that automation, outsourcing and sheer world population growth which swells the supply of labor (okay, the article completely left this out -- I added it) now requires one to up their game.
Ironically, the article maintains that you still might want to consider going to college as is stated in the last sentence:
The rest of us, meanwhile, should go to school, learn some skills and prepare for a rocky road.
But one has to be clear about what you're doing. What you should be doing is stated earlier:
A general guideline these days is that people are rewarded when they can do things that take trained judgment and skill — things, in other words, that can’t be done by computers or lower-wage workers in other countries.
Robert Reich says something similar about going for as much high-level training as you can get in
The Work of Nations: Preparing Ourselves for 21st Century Capitalism, where he makes the case for being a "symbolic analyst" -- i.e. a highly trained professional like a doctor, architect or (real) business leader. I think that a correctly-managed career in IT would be fine too, if you can avoid the tar pits.
If you can't be a high level professional, then try to do something that can't be automated, offshored, or done by cheap labor. I.e. no commodity programming, house painting, manufacturing assembly ( not that the latter is even an option....). If you can't be a high-level symbolic analyst, then a option would be a highly-skilled repair profession like car repair or a mechanical/electrical engineering technician job in factory automation. Note that automation design is an engineering job which certainly qualifies as being a symbolic analyst.