Being so afraid of your government that you do not speak out, assemble, engage with a free press, practice your religion, etc etc etc is about as un-American as something can get.
There has been a history of some states calling out the National Guard to put an end to campus protests in the past, the most notorious being Kent State in 1970.
Whether the school is public or private has nothing to do with it. However, despite it's name, the National Guard is controlled by its State Governor unless explicitly federalized by the President. I don't think the NY Governor is eager to step into that.
I was referring to OP saying, "these youngsters seem to not understand the power of the government" when it's not the government going after them. Not right now anyway.
Kathy Hochul? She's a shitty politician, I wouldn't be surprised if she did call them in. I can only imagine Eric Adams is salivating at the idea of it too, he's basically a moderate Republican in disguise. No one likes either of them.
People stormed the capitol and it's a big deal that there are consequences. Hamilton Hall means nothing to the Institution of America. I wonder how many of the same people are defending these students?