They used to sell t-shirts "Smallest county seat in America." But I think someplace in Nebraska just passed them up.
Amidon is conveniently located at the junction of US 85 and US 212 and near the highest mountain in North Dakota (3500 feet or so as I recall) and an underground burning coal mine.
The fake patrol car is to get people to pay attention to the reduction to 45 then 25 as you roll through 'town'.