This would make the FBI guilty of a whole bunch of felonies, would it not? (Independent of whether what they were doing is morally right or wrong, isn't this exactly what they imprison hackers for?)
The question is what gives them the authority to use these tactics? Wiretapping laws?
But if the government as an official approved sanctioned policy directs an employee to do an action (like, hack into Facebook's servers), good luck trying to get that employee arrested. The government may be doing illegal acts, but no one can be arrested over those since they are sanctioned by the two law making branches of government (executive and congress).