For some reason, US foreign policy is based on the principle of being tough and domineering with all your allies, except Israel, Saudi Arabia and Turkey, which are treated with undue leniency and respect. So, probably not.
We do that with every ally we have in the Middle East, honestly. America's realpolitik strategy in the region requires us to make allies out of both sides of all the region's big feuds. We play nice with both Israel and Saudi Arabia, with the Turkish Government and the Kurds, with both Afghanistan and Pakistan, etc.
If we support one side over another in any of those conflicts, then some other major power like Russia would just support the other side against us. Playing both sides ensures the continuation of American hegemony in the region, and it also helps promote stability because it allows the US to play mediator whenever conflict begins to erupt.
Ultimately it's all about the oil; the United States' #1 geopolitical objective is to guarantee our energy needs are met indefinitely, and that requires us to stay on good terms with all the major producers as well as everyone else who might affect those producers. All other concerns are secondary.