The claim that the office of the Vice-President is not part of the Executive Branch would come as a shock to the authors of the Constitution. They placed the office of the Vice-President in Article II, along with all of the other components of the Executive Branch.
I don't know which annoys me more. The Vice-President's minions pretending that the don't know how to read, or their apparent belief that the rest of us have never read the Constitution of the United States.
A Side Note: If the Vice-President is not a member of any of the three branches of government, as he claims, then that would make Dick Cheney an outlaw. But, we already knew that.