Do the Republicans want perpetual war in Iraq?

Recently, Dick Cheney commenting on the failed policy of the Obama Administration, said that the core doctrine of the Bush Administration on Iraq required that the United States occupy Iraq indefinitely because they knew that if they withdrew Iraq would devolve into chaos. We see that Cheney was right. But we also see that the Bush doctrine, aligning with Brzezinski’s chess game narrative, sought to establish imperial rule over Iraq. Either way it is still the Nazi’s against the Communists.