First, I think the ability to DO THINGS is the great equalizer at this point. Being a do-er lifts you out of poverty (or at least out of poverty's worst resting state). Being a do-er expands your network. Being a do-er prolongs your life (people with jobs/daily activities tend to live longer healthier lives). The best part about this is that technology has made it easier to become a do-er. You don't need as much specialized education or tools, and trial and error is free.
Secondly, education's place as the great economic equalizer has weakened because we have weakened the education. In public schools (the most widely used education institutions in the US), kids are just shoveled through. Why? We put an emphasis on standardized testing and graduation rates while also chronically underfunding schools. That leads us to lower quality/quantity of teachers who are told to march to the drum of hitting numbers. The emphasis on "just graduating" pushes teachers to push kids through, event when they have not actually learned anything. That same philosophy then propagates to college, where TA's want to research for their Masters/PHDs, not teach. You then get a "working class" with no real skills/education/ambition... they do not "do", which leads back to my first comment.