Asking "Should President Obama end the War on Terror?" is like asking "Should President Kennedy End the Cold War?" In both instances, the war being ongoing and waged eagerly by the enemies of democracy, barring America's abject surrender, it is/was beyond the POTUS's ability to "end." And, BTW, how can the Sgt. Schultz of American presidents (he knows/sees/hears nothing 'bout Benghazi, monitoring reporters' e-mails, the IRS scandal, etc.) be expected to do something on that scale?
Update: Someone else sees him as the morose Dane.