From the perspective of the new Secretary of Education, the GOP’s position on education contains two mutually exclusive threads: first, to limit the authority of the federal government on lower education to the maximum extent possible; and second, to compel state and local governments to use vouchers and charter schools. Given the obvious conflict here, and given that the federal government has a very limited role in education even under the best of circumstances, it is unlikely that the Trump Administration will go down in history as having accomplished much in this field, either for good or for ill.
The more interesting question relates to the cost of higher education. Clinton and Sanders wanted to throw billions of dollars at the problem to make public education free, at least for most people. Obama has focused more on making the market accountable and transparent. What will the proprietor of Trump University have to say about soaring student debt? My guess is nothing.