If you haven't read the administrations demands on Harvard, or Harvard's response, they're worth the read. I can post them, in case anyone is interested. But the demands are unlawful, and no private institution of higher education should submit itself to such government oversight, esp. as vague as some of the demands are, as well as unconstitutional.
But the worst is that the government is threatening them with loss of funding for research should they not comply, which is work that improves and saves lives. Harvard, as an educational institution, can exist on its own endowment, but the serious and important research that they do, in their medical labs, for one, needs government funding, and it does work for the betterment of all Americans and the world. This is short-sighted and foolhardy, but work will be shut down if Trump makes good on his threat.