I've given this some thought, after reading your many posts. Here's my current (madcap) proposal- if I were mind controlling Congress and the Obama Administration:
Offer green cards to everyone with legit medical professions, R&D engineers, Chemists, Aerospace Engineers, Subsea Engineers, and Nano Engineers. Accept journalists, writers, musicians, and other artists under refugee status to developing countries. Make an effort to find the green card folks jobs. Make sure we subtly split them up if we can, so that we don't get them making a 'Little Syria' in Houston or Seattle or something. ASSIMILATE.
Leave Syria itself alone, unless one of the identifiable factions within starts fucking with another country.
Like Berenger suggested, pass the military buck to China. They've already sent troops to Mali, maybe they can start to help 'police' the world.