I saw this game the other day and downloaded the demo. It is called
President Forever and there you basicly run for president in 2004.
May features to make it like a real campaign - campaign ads, fundraisers, foot soldiers, debates etc etc. You start 6 weeks prior the election day and choose a strategy (which states to compete in), party affiliation, running mate.
The bad news is as I was starting to kick GWB's ass and had 300 electoral college votes 5 weeks to election day, the demo stopped and told me I have to buy the ful copy if I want to beat Junior :) The full copy costs only $12 but for some strange reason my credit card got declined twice. I will try again to buy the game today. Chack it out - you'll love it.