WASHINGTON — Each Saturday morning in July and August, Susan E. Rice , President Obama ’s new national security adviser, gathered half a dozen aides in her corner office in the White House to plot America’s future in the Middle East. The policy review, a kind of midcourse correction, has set the United States on a new heading in the world’s most turbulent region. At the United Nations last month, Mr. Obama laid out the priorities he has adopted as a result of the review. The United States, he declared, would focus on negotiating a nuclear deal with Iran, brokering peace between the Israelis and the Palestinians and mitigating the strife in Syria. Everything else would take a back seat. That includes Egypt, which was once a central pillar of American foreign policy. Mr. Obama, who hailed the crowds on the streets of Cairo in 2011 and pledged to […]