Well if want to Engineer another Libyan disaster, that would be the policy, but some people don't pay that much attention to this.
As it is it makes sense to put resources to combat ISIS and assist Al-Qaeda but then turn on them later just like with Gadaffi.
http://www.globalresearch.ca/libyas-nato-supported-pro-democracy-rebels-have-joined-the-islamic-state-isis/5414949
That said any program the US or Europe had to destabilize the region backfired when all the immigrants left the country to come to Europe although they do get money off the rich ones that leave the country as well it is a pain for them.
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Best strategy here is sheer power although China and Russia are touching this grenade and its closer to their turf if the US wanted to leave.
http://www.foxnews.com/world/2015/09/14/analysis-russia-takes-gamble-in-syria-ramping-up-military-involvement-in-civil/
http://thediplomat.com/2015/09/how-china-helped-cause-the-syrian-refugee-crisis/