Well, we could elect a President based on candidates who we wanted.
I'm leaning towards starting in 1960. Which would make it the 86th Congress. The list of them can be found here:
http://en.wikipedia.org/wiki/86th_United_States_Congress. President Eisenhower is an unplayable character as the election is coming up. John F. Kennedy and Richard Nixon are playable, but have already been nominated for the Presidency. Anyone choosing them may also play as their running mates (And may choose whomever they desire. If that character is already chosen, the running mate will not be under their control).
First thing first. If you're not the President, then you can be any member of the Senate or Cabinet. Everyone can pick up to five characters, excepting the President. Game Manager will report the news. They will basically be the Walter Cronkite's of the world. Those in the Senate, etc. will be responsible for doing the legislative thing, you know the drill there. Anyone from that era is available. Let's start simple and pick our characters. Everyone just list your preferences up to five based on all officeholders in 1960. in the Legislative or Executive Branches. Here are mine:
1. Hubert Humphrey (D-MN) (You didn't think I was gonna let him go elsewhere
)
2. Joseph Clark (D-PA)
3. Jennings Randolph (D-WV)
4. Clifford Case (R-NJ)
5. William Proxmire (D-WI)