You mean among posters or among real politicians ?
Among posters
I would choose Jon Kyle (assuming he would accept because he is retiring). He a lot like Biden in the sense that he knows his way around the Senate.
Among posters, Cathcon, Emperor PIT, Bourbon Democrat, Kaljweet, Tmtfhu (can never remeber the right way XD) JohanasLibertus, Jake Matthews and Wormy come to mind.
Ha
Ha!
By the way, GOP372, the question was referring to the running-mates, not the person choosing the running-mate. You probably meant to ask it like this: Posters, what real life politician(s) would you choose as your running-mate?