Mr. Obama’s predecessors, Presidents Bill Clinton and George W. Bush, came of age politically with the American-Israeli viewpoint of the Middle East conflict as their primary tutor, said Daniel Levy, a former Israeli peace negotiator. While each often expressed concern and empathy for the Palestinians — with Mr. Clinton, in particular, pushing hard for Middle East peace during the last months of his presidency — their early perspectives were shaped more by Israelis and American Jews than by Muslims, Mr. Levy said. “I think that Barack Obama, on this issue as well as many other issues, brings a fresh approach and a fresh background,” Mr. Levy said. “He’s certainly familiar with Israel’s concerns and with the closeness of the Israel-America relationship and with that narrative. But what I think might be different is a familiarity that I think President Obama almost certainly has with where the Palestinian grievance narrative is coming from.”