A NFZ in Libya doesn't need a carrier; there are plenty of NATO fixed wing bases within easy range, particularly tanked. The Balkans ops required far longer sortie durations than would be needed for this one.
What is needed is a flexibility of platforms giving SEAD and AD capability. We seem to be short of the former and, had you checked the Forum 6 moths ago, we, apparently, didn't need a Typhoon to provide the latter.
The next issue is numbers. If we keep reducing Typhoon force levels at recent rates we may be able to provide a sqn if we're lucky.
I trust those short sighted individuals at all levels are taking note.