In Boone County (Indiana), an electronic-vote software spits out 144,000 votes from only 19,000 registered voters. Even on the worst ballot-stuffing, one couldn't dream of such funny figures.
Paper, envelope, ballot box and enough citizen eye balls to monitor, count and verify. That's all a good democracy needs on election day. And it works even without electricity (ever wonder why there is always a pack of candles in every election bureau in France?) Trust us, Old Europe has more experience than the US on this one ;-).