Larison's case against one:

Not only would the U.S. very directly be taking sides in an internal Libyan conflict to which we are not party, but should enforcing such a no-fly zone could turn into a prolonged commitment that will be one more mission added to the burden of an already overstretched military. No-fly zones are the sort of easy-sounding response to an immediate problem that can turn into an endless policy. If the reason for the no-fly zone is to halt Gaddafi’s assault on civilians, it probably won’t be long before the no-fly zone evolves into an air war against Gaddafi’s ground forces to achieve the same end, and that might escalate into a new war for regime change. Libya’s internal conflict is just the sort of situation that Americans should have learned to avoid by now.

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