Your logic is running even better than usual, Mike. By that reasoning, we have a "Democratic" president, therefore I can safely characterize you as a Democrat and a member of the Democratic Party. After all, if the head of the institution is, then everybody must be, just like your thinking with Harvard.
I am a Liberal and happy with it.
I like my institutions of higher learning to be objective. Harvard has pockets of Liberalism, like the English Department, and pockets of Conservatism, like the B-School, last I heard, and parts that are mixed, like the law school which has people who will take strong positions on one or the other side. The people who do science are proud of being objective and following the data, and they do a very good job of it. Data is data. It may be put to political uses, like the atom bomb, but the science is simply data.