If the demands are illegal, then yeah, by any means, you shouldn't comply. Do resist a criminal state that's using intimidation instead of laws, isn't this the American spirit?
Is there a good analysis of which demands are illegal? Is Harvard suing?
I sort of agree with you, but also don't buy into the victim narrative from Harvard, which has been happy to comply with illegal requests before and has clearly violated Civil Rights laws for years.
The Harvard Crimson seems to have done a decent job in a couple articles. It seems some of the request is legal, and some is broad so they don't know what to do. They were probably waiting for this action to file a lawsuit, since now they can argue they complied.