Gadaffi (spelling is phonetic so doesn't matter) should be thought of as semi-retired, he doesn't run the Government's day to day business, those who assisted him in the 1969 bloodless coup and others do run the show. These same people are now negotiating with the UN Security Council (USA and Britain) and suggesting a coup whereby Gadaffi is removed and the same old people continue to run the show.
Blame / sacrifice Gadaffi and continue on with the same people in charge with UN support.
This is seriously being considered now by the western powers that be. In my view the west will like this option because it will be viewed as the route to short term stability. Oil prices could be kept down and stock market instability could be reduced.