There maybe a resolution, you can judge for yourself the worth of it.
As for the Arab League backing, that is debatable, there are lots of reports of unrest amongst them. There has been no offensive action taken by an Arab League nation as of today, Qatar do have 4 Mirage planes available though, is this just a token gesture?
As for regime change and an invasion, the idea that Gadaffi will be left to rule, is in my opinion laughable.
There will also be troops on the ground, there has to be otherwise there is no way to stop the killings that are taking place, you can't take out a man with a gun from 10,000 feet.
Finally as dirtydog has said, we have sided with an armed militia.