New Way to Elect Our President

As we watch the Presidential primaries undoubtably there is discussion about our current system for determining our leaders. Here's a new idea for discussion. Let the primaries determine the party's choice as candidate for President , without a VP. Then as we go to the final polls let the popular vote, the real voice of the American people, determine the president and the number two vote receipiant in the popular vote becomes the V.P, That way we get balance between the parties, and they will need to work together. I'm of the opinion that this is a better way to select our leadership and a more efficient and honest way to have representation of the people. Any opinions out there?