I think what we need are apprenticeships. I.e. a prominent research group hires kids after the remedial first two years of traditional college curriculum (or something like it plus a couple of years in an entry level job), and has them work on the actual problems at hand, filling the knowledge gaps as needed. It is no longer possible to know much of anything, so we should specialize and diversify at the same time, me…
By the time I had graduated, I had work experience in embedded systems, a criminal justice stats analysis lab, the Red Sox, and a counter terrorism research center in DC. And that's all well and good, but the most important thing I took from it was that it taught me very quickly which sectors I did not want to work in.
You often come out of high school with this idealized version of what it would be like to work in X field. To learn what that field is really like, and to learn if it's something you truly want to pursue, is a huge win in my mind for an undergraduate.