A character is sometimes allowed or forced to draw additional or replacement skill cards whether due to an inherent ability (Baltar, Caprica 6, etc.), a crisis or whatever. Do you assume that the "bonus" cards must come from the character's skill set unless the triggering mechanism explicitly says otherwise?
This was a definite sore point with our Ellen Tigh in last night's game.
BTW, in that game, executing Presdient Roslin to prove her humanity and thereby implicate cylons Cain and Boomer proved to be a winning strategy for the humans. The crisis deck was being very unkind to the Cylons who never had much chance anyway.