Simple "solution" - delete her Facebook profile and tell them that's what she's done.

Surely there is a law that's already on the books that prevents coersion of person details? Under the U.S. Constitution, the government must get a search warrant. I don't see how this is any different - this is the government using coersion to gain access to your private life. I think that a good lawyer could take this to the Federal Court to challenge the constitutionality of the matter.