Harvard really tarnished it's reputation when the president, under oath, said that calls for the genocide of Jews would comply with their code of conduct "depending on the context". The president did end up resigning a year ago, though they have a lot of work to do to come back from that.
While what the Trump admin is doing is wrong, Harvard has given them ample cover for their actions. It would be intellectually lazy to assert, even implicitly, that Harvard has no responsibility over the current state of affairs.