Agreed. I don't think the neocons anticipated the Iranians gaining so much influence in Baghdad, nor the Russian intervention in Syria. I suspect they imagined once they'd occupied Iraq it would become a compliant vassal state, a bulwark against Iran. Ooops.
And remember this plan was drafted just a few years after the collapse of the USSR. They imagined the 21st century would be the New American Century - American hegemony was assured! There's actually an Iraqi parliamentary committee considering whether to annul the Iraqi agreement with the US and make a similar agreement with Russia instead. Ooops. Again.
The neocons tried unsuccessfully to get Clinton to invade Iraq. Then the Saudis provided GW and Cheney their "new Pearl Harbor" and they were on their way to Baghdad. The extreme American (and Israeli) hawks excoriate Obama for seeking a deal with Iran, rather than getting on with regime change in Syria and Iran - the original plan.
Turkey has now challenged Baghdad's authority in the Kurdish north by sending troops, claiming they were invited by the Iraqi govt at the same time Baghdad has ordered them to leave. If Baghdad does invite Russia to replace the US for military assistance .. this could all boil over into a really really nasty mess. A much nastier mess than it already is. The Kurds do not want to relinquish the oil they are selling on the black market through Turkey and Israel, and ISIS depends on that black market flow to camouflage its own black market shipments, so in the eyes of many a partitioning of Syria is still very much in their intentions.