Definitely. The Pentagon Papers and COINTELPRO were really messy and embarrassing too once they hit the public dialog.
Posted on another thread (by me), and related to Padilla, not the NSA matter, but Congress has managed to keep out of taking a position.
Playing the Padilla case through the speculation forward machine, an astute thinker (not me) said, "Although Congress has not yet passed a 'Detention of Enemy Combatants Act,' there is no reason to think that, in the aftermath of a reversal of the Fourth Circuit in Padilla II, it wouldn't."
How supportive of the WOT is Congress, anyway?