The US would love to see MG gone but they don't want to be the ones to remove him. Simple enough, and not unreasonable.
I don't think there's a widespread perception that the US is bankrupt because of small wars like Libya, Ivory Coast or Somalia or because of Iraq and Afghanistan. There is a fairly widespread and not unreasonable belief that a nation in real financial straits should not be taking on additional burdens abroad, especially in places where we have no vital interest (or any interest at all) at stake.
Policies will be consistent when perceived interests are consistent... which is not likely to happen often.
I'm not sure anyone's in a position to commit to a solid agreement on postwar dispositions, given that neither of the contesting parties is likely to be able to govern Libya postwar and none of the intervening parties have shown any desire to govern Libya.
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