Current pedagogy is a mess. I would say it has been for at least the last 75+ years. I am not sure what the best approach is, but a holistic one makes sense. Like you say education is not about acquiring skills, that is suppose to be realm of training. This distinction has been lost ever since the breakdown of classical learning for the more uniform Prussian methodology.
A pragmatic way out would be through unschooling/homeschooling or just general self-education. It's easier now than ever before. One problem though is credentialism has taken over society, so we judge the merit of ones learning based on what degrees or awards they have achieved. Perhaps a crypto solution is possible and may even be facilitated with Steem and how Steemit works.
Yes, I like that distinction: training vs. teaching. One can learn facts and skills in a training session, and even be able to use them efficiently. However, teaching has connotations of wisdom and discernment. Training is goal-oriented with a very specific result in mind. Teaching is process-oriented, helping students become better learners.
In my mind, an educational revolution will never happen top-down, through legislations and policies. A cultural paradigm shift is needed, and this will happen over time as educators, one by one, take their own personal initiative on their campuses.