Above all else, a society of competent men and women is self-ruled. Competence is the core of independence while standardized education is the essence of collectivism. Once you know how to do something, you are less likely to be awed by men and women who only know how to rule over others. Once you know how to do something, you have achieved a measure of pure freedom.
An America with even more universal education will not be any more competitive, it will be less so. There is only so much money available for 24.4 billion dollar education budgets, or the 500 billion dollar equivalent of it when applying the same per-child spending ratio nationwide. And when that pyramid of debt sinks into the sand, we will have a great many people with a passel of degrees and less useful skills than most Stone Age aborigines.
But an America with universal competence would mean a return to the country that was where the economy was driven by individual skill and learning ability, rather than by collective programming. And that is the only kind of nation for which the Constitution would be more than just pretty words, but serve as the guarantees of an actual limited government. That great nation existed once and it still exists even among the ruins of the government cradle-to-grave state. All it needs is the freedom to do.