Except the civil war started a month and a half before NATO intervention
Also French and British diplomats lied about strikes on civil population by Kaddafi to the US and the UN (unclear if the SIS/Mi6 was played by its French counterpart or participated on forging evidence).
At least the warchief that met Sarkozy was killed within the week Hillary received the information that he worked way too closely with the French, it might be happenstance, but I'd rather believe the Cia was involved somehow (if not, they're way, way less competent than everybody think)
Check for Blumenthal emails on wikileaks, you'll get even more details.