Why should we lift a finger to help Libya when we already know what the outcome will be?

Say we decided to create a No Fly Zone (which is in effect declaring war on LIbya). During the required operations to destroy Anti Aircraft batteries you know a few "innocent civilians" are going to get killed and then Media like Al Jazera will use those images to inflame an already out of control MIddle East population. Along with that the Loony Left will claim we're only doing it for the oil. Face it getting involved with Libya will be a no win situation for us.