That is a nice thought, but it doesn't really work that way. Most organizations don't have the flexibility required to make that a possibility (due to constraints of mission and efficiency in general).
An extreme example:
It is not possible to infiltrate the mafia and convert it from within to a girlscouts-like force of good. Such a transformation, were it possible, would conflict with the organization's goals and culture - it would no longer be the mafia. The same can be said about an insider attempting to reverse the NSA's efforts to spy on everybody.
That is a nice thought, but it doesn't really work that way. Most organizations don't have the flexibility required to make that a possibility (due to constraints of mission and efficiency in general).
An extreme example:
It is not possible to infiltrate the mafia and convert it from within to a girlscouts-like force of good. Such a transformation, were it possible, would conflict with the organization's goals and culture - it would no longer be the mafia. The same can be said about an insider attempting to reverse the NSA's efforts to spy on everybody.