The “deal of the century”—the Trump administration’s long-awaited Mideast peace deal—could be coming as soon as next month. But not much has been announced about its contents. For that reason, most regional leaders have withheld support for the plan. Yet the administration’s secrecy, and its tendency to eschew the traditional fanfare of peacemaking, may give President Trump a leg up on his predecessors.

Recent presidents have all telegraphed their peace plans and broadcast each purported step toward progress, with the unintended...