@roger,
They haven't given up on NATO potentially controlling both parts of the conflict, though. Once the meeting adjourned late last night (Brussel's time) and there was an agreement on the no-fly zone part of the operation, Hillary addressed the nation and said...
"All 28 allies have also now authorized military authorities to develop an operations plan for NATO to take on the
broader civilian protection mission under Resolution 1973."
She then went on to say that she'd be involved in the negotiations and seemed pretty upbeat that they'd be able to get it accomplished. (If anyone can crack heads, it's her, I think).
The NATO Sec'y. General Rasmussen, however, made it very clear that NATO was
only enforcing the no-fly zone, with the U.S. still leading its coalition on the 'protection' mission. (IMO, that's going to be the hardest part with the most potential for collateral damage).
Of course, CNN had plenty of military experts on hand. They all seemed to agree that it's not a good idea to split the operation up this way since it makes the overall mission more difficult by having 2 different groups reporting to 2 different command and control centers.