There is a scenario -- a nightmare scenario for RWNJs -- under which President Obama can legally and constitutionally win a third term as President of the United States. Of course, we should know that Barack Obama is too honest and honorable a person to pursue this course of action. But do the RWNJs know that?
This is an RWNJ fantasy/nightmare scenario, but one worth flogging for exactly that reason. Amidst the Republicans calling for Obama's resignation, there is a certain obliviousness to the constitutional implications of it. The Twenty-Second Amendment says: "No person shall be elected to the office of the President more than twice, and no person who has held the office of President, or acted as President, for more than two years of a term to which some other person was elected President shall be elected to the office of the President more than once." Now, this might seem to settle it for Obama, having been "elected to the office of the President" twice.
Except, what if he wasn't? Republicans already believe that the 2012 election was stolen in half a dozen states. If that were the case, then it would theoretically be possible for Obama to resign from office on January 19, 2015 -- just shy of the two year mark of his second term -- and concede that he was not really 'elected' to that term, and therefore had really only served one full term, and half of "a term to which some other person was elected." In the meantime, Joe Biden would finish out Obama's lame duck term, and Obama would be lauded as the hero of the ongoing economic recovery, and would coast to the presidency in 2016.
Obama could even resign in secret, conveying this resignation to Joe Biden, who would legally become the President, but under his executive authority could allow Obama to continue serving as a figurehead, living in the White House and giving press conferences and such. The Republicans would not know what hit them until the primary filing deadlines. Obama could even skip the early deadlines for Iowa and New Hampshire, assured as he would be of winning the primaries, if the Republican focus on certain other Democratic candidates weakens their political standing or dissuades them from running.
But for any actual RWNJs reading this, you can relax. Barack Obama is too honest, too honorable, and too great a man to try and bend or break the Constitution to hold onto the Presidency.