The Syrian Army would still have been able to destroy the Jihadists if it wasn't for the US waging war against the Syrian Army, by the way of airstrikes and missile strikes.
I can definitively say that Iraq would not have collapsed into a failed state if Saddam had been deposed organically. Hell, if it wasn't for the occupation of Iraq by the US up to and including this very day its possible the Iraqi state would have been able to rebuild itself, one way or another.
That being said, a large amount of terrorist groups in the Middle East find the roots even earlier, in the US support of jihadis against the Soviets.
And wouldn't you know it! The founder of Jama'at al-Tawhid wal-Jihad, was financed and trained in order to go fight against the USSR in Afghanistan. Financed by who exactly? By Bin Laden, of course. Which himself got his money and material for who? Wouldn't you believe it, it's the old red white and blue again.