I turn for the next remark to another authority:
"(The President) shall nominate, and by and with the Advice and Consent of the Senate, shall appoint Ambassadors, other public Ministers and Consuls, Judges of the supreme Court, and all other Officers of the United States, whose Appointments are not herein otherwise provided for..."
What the Constitution does not say is that the President shall nominate Judges of the supreme Court, unless he is a Democrat, and Republicans don't want him to appoint one. It is the President's duty to do that. It would be a real example of the Republicans' fantasy-world claims that Obama is trashing the Constitution, if he failed to carry out that task.
Obama: the only guy who can wreck the Constitution by following it. Get ready for a Republican tantrum to top all tantrums. They are all going to be competing with Ted Cruz to see who can make the government fall apart over this.