Real headline should read "Obama Caves, Gives Iran What They Wanted All Along"
And Neville Chamberlain was out of power shortly after Germany and Russia invaded Poland. The British parliamentary system allows for that; screw ups get a no-confidence vote, and new elections are held shortly thereafter. So does the Israeli system.
If and/or when Iran detonates a nuclear device over a major city somewhere, Obama will still be President until 2017, unless he’s impeached, resigns, or is in that major city when it blows.