Well the Us supported mubarak right until the end. And thats what they usually do. They support the dictator until the last possible moment then they change position and support the opposition or rather the fraction of the opposition they think will bring things back to "normal" in the region as for as possible.
Then we should remember in this context that the major oil producing countries they never even let the protests get of the ground. In lybia there was military intervention. Kuwait, Saudi Arabia and the Arab Emirates there was never any revolution, to quote Noam Chomsky "the intimidation by the security forces backed by the west was to enormous that people where literally afraid to go into the streets". The US woulden't allow one, the would dispatch the troops wheather their own or back a brutal regime.
Look at Irak, US supported Sadam right through the worst atrocities, and then sent in the troops when he wanted to use the oil for his own people. Suharto, Samoza, Marcos Pérez.
Well how is this relevant to the post. Well I think for fundamental Islam to gain less power and the Anti-west attitude to subside the US need to stop terrorizing the region. The easiest way to stop terrorism is to stop participating in it.
Now Sweden is selling weapons to several of these countries aswell and to the US and we are currently at war in Afghanistan so thats what I focus my energy on cause I certainly don't want to see Sweden targeted by terrorism or participating in it.