What exactly would that look like? — Obama clutching a picture of himself?

Via Washington Secrets:

[A]t the dinner, the president dinged several of his favorite targets like journalist Bob Woodward and conservative criticism of his remark that they cling to their guns or religion.

“Of course, maintaining credibility in this cynical atmosphere is harder than ever — incredibly challenging. My administration recently put out a photo of me skeet shooting and even that wasn’t enough for some people. Next week, we’re releasing a photo of me clinging to religion,” he said to what the White House transcript called “laughter and applause.”