Middlepath: I have a problem with your line of reasoning. If I were to follow your logic then I would presume there would be no difference in attending a private school to a public school.
The reason why jewish parents send their children to a specific school is because it has a certain atmosphere and a slant in the chinuch that the parents (should) agree to.
That is not to say that every school is for everybody. But the duty of a private school is to maintain the atmosphere and level of seclusion the parents expect.
I would think that it was a big mistake to encourage the students to sign on to facebook in the first place. DUMB DECISION.