"I have a red line -- oh, of course, it's not my red line, it's the world's red line," she says, paraphrasing and combining different Obama quotes to emphasize what she views as his changing stances and messaging.
"Al Qaeda is on the run ... except when we deploy SEAL Team 6 in two separate operations in one weekend in Africa."
"You can pretend that this is part of a coherent set of strategic choices," Pletka says. But if the president's statements were "in an essay, the teacher would write 'F' because there is no consistency whatsoever."
"I am always able to predict that he will do less than is necessary while dressing it in the glorying admiration of his own self-perception," she says.
Other recent presidents including Clinton had clear visions for American leadership, she says.
No doctrine? No problem.
But if Obama doesn't have a so-called doctrine, that just might be a good thing, according to some analysts.
"The search itself is misguided," CNN's Fareed Zakaria wrote in 2011. "The doctrinal approach to foreign policy doesn't make much sense anymore.
"Every American foreign policy 'doctrine' but one was formulated during the Cold War, for a bipolar world, when American policy toward one country -- the Soviet Union -- dominated all U.S. strategy and was the defining aspect of global affairs. (The Monroe Doctrine is the exception.) In today's multipolar, multilayered world, there is no central hinge upon which all American foreign policy rests. Policymaking looks more varied, and inconsistent, as regions require approaches that don't necessarily apply elsewhere."
In a sense, Gerges agrees. "Beyond al Qaeda, there is no Obama Doctrine," he says.
Asia focus was 'Hillary Doctrine'
Former secretary of state Hillary Clinton had a doctrine that helped guide U.S. foreign policy, says Ian Bremmer, president of the Eurasia Group.
"The Hillary Doctrine involved a pivot to Asia," Bremmer told Reuters.
But since she left office, her doctrine "has been buried by one distraction after another, whether Egypt, Syria, or Iran."
During a recent speech to the U.N. General Assembly, Obama did not mention East Asia except for a single reference to China in regard to Iran, Bremmer says.
Nevertheless, former Defense official Brannen says working to "rebalance" the Pacific and represent U.S. interests remains a part of Obama's "doctrine."
Obama remains committed to "reinvigorating diplomacy," Brannen says, adding, "I think he really does have a deliberate strategy."