Addendum: WTF does football have to do with the Presidency? Totally different head.
Do we really want a wussy girlie man as our president?
No, and when I think of Dick Cheney, I don't think football.
Good question.
"Touch football" was a famous photo-op gesture of liberal social folk kero Bobby Kennedy, presidential candidate in 1968 and still an icon and emotive symbol for some Kerry supporters, no doubt.
The...uh..."Gipper" ( The Gipper ) ..., no stranger to the presidency (1980-1988), was also known to toss a football around on occasion with some effect. Particularly, when visiting colleges...like Notre Dame. Football remains a power symbol in the culture.