Leon Hadar in these spaces has commended as a “sensible stance” toward the Israeli-Palestinian a policy, enunciated by a prominent American politician, that “we sort of live with it, and we kick the ball down the field and hope that ultimately, somehow, something will happen and resolve it.” Hadar criticizes “some self-proclaimed foreign-policy realists,” implying that their belief that “Washington can and ought to help make peace between Israelis and Palestinians” somehow contradicts realist criticisms of neocon ambitions to remake the Middle East in the American image. Insofar as Hadar is making a general point that there are difficult and often violent problems out there that the United States simply cannot be expected to solve, he's right about that. (For a nice statement on this theme that goes far beyond the Arab-Israeli conflict, see Daniel Byman's recent treatment.) And Hadar is certainly correct that there are other regional and global players that need to play a role in resolving this conflict.
But Hadar seems oblivious to the enormous resonance that this conflict has like no other—with its continued festering harming U.S. interests—and to the leverage that could be, but has not been, applied to resolving it.
He also seems oblivious to what actual U.S. policies and efforts have, and have not, been in recent years. When he refers to “America's preoccupation with the conflict”—taking him to mean preoccupation with resolving the conflict—one wonders what he is looking at. The last preoccupation at the presidential level was that of Bill Clinton at Camp David in 2000. Clinton's successor George W. Bush promptly made it known after entering office that he didn't want to be bothered by the Arab-Israeli issue. It was only near the end of his administration that he decided he ought to go through the motions of hosting a single conference on the subject. Barack Obama made a brief stab at addressing the main impediment to a negotiated settlement—the continued Israeli colonization of occupied territory—but promptly retreated when the Israeli government and its American supporters pushed back hard. Since then he hasn't run with the issue, much less be preoccupied with it, any more than Bush.
Hadar lectures us on how two parties will settle a conflict only if doing so is in their “core national interests” and cannot otherwise be forced to settle by some third party. Of course they can't, unless the third party exercises imperial domination—which is the sort of thing neocons would warm to in other contexts but is certainly not what any “self-proclaimed foreign-policy realists” would advocate. But this observation is not the same as saying other types of third-party participation are useless. If it were, we should find a way to revoke posthumously Teddy Roosevelt's Nobel Peace Prize for mediating an end to the Russo-Japanese War. Nations locked in conflict with other nations often find themselves unable, for a variety of reasons, to embark on a course more conducive to their interests. With some of those reasons, the active participation of a third party can be instrumental.