Barack Obama’s very sources of popularity reduce the incentive for future American leaders to even try to be ingratiating toward other nations

I don’t get your point. Obama has been nothing but ingratiating towards other nations, quite frankly it’s disgusting. US foreign policy should not be about “restoring our image”, what everybody else thinks isn’t very important. What matters is our interests, which are not served by obsequious toadying to Europeans and Muslims.