The "working class" has absolutely no choice in this matter, so blaming it on them by saying 'they need to realize x or y' is quite besides the point.
Skill sets and education are largely besides the point too. While it is nice to shuffle around people's skill sets and adapt them to other professions in the short term, in the long run many of those 'skilled' professions will largely be automated too. Even if those workers were capable of acquiring the fabled 'transversal skills' necessary to do the surviving jobs (which many of them most definitely are not), the increase in labor surplus will mean more people will stay permanently jobless.
Hence, a more collective ownership of the (automated) means of production is what counts. That sounds awfully marxist though, so good luck trying to convince people of that.
I personally would love to believe we're going to end up in a leisure society with a guaranteed minimum income supplemented by some tradeable activities we personally find meaningful (utopia, hooray), it seems more likely we're set for rentier capitalism with a large underclass of jobless vagrants though.