IIRC under the original terms of the constitution the person getting the majority of votes from the electoral college became president (if in majority) and the person getting the second largest count became vice president.
How about McCain - Clinton

Could ya'll imagine in todays world a polar opposite president and vice president - Say Hucklebee - Obama
More likely John will reach out and pull in Joe Liberman and we'll have a four year stint of the John and Joe show on your
radio dial.
Nah, the party leaders won't let him do that, or will they?