I suspect that most thinking about education is prone to various flavors of the Just World Fallacy, so I'd advise you to be especially cautious around that.

For instance, you might think that if you point out an outcome that everyone seems to agree the educational system should achieve, and then point out that this outcome isn't being achieved at all effectively, then people in charge will wake up to that fact and this will be enough to effect change in the system.

This fails, because it omits the hypothesis that the most prized outcomes of the educational system aren't the ones that are generally admitted and discussed. (In particular, I have come to suspect that the most valued outcome among people in charge is to ingrain compliance, so that people who go through school and higher ed are trained to show up for work and not complain too much.)