I don't think its an ignition related misfire or hesitation. I think its more a bucking caused by a mechanical imbalance. I'll check those tomorrow in the light, but i'm still convinced its not ignition related.
With a faulty wire, what does the hesitation feel like?
The hesitation I had felt like violent bucking (just like you describe). I worked at it for 2 months or so, convinced it wasn't wires because I had done the wires first and replaced them again just to be sure. It went away with the THIRD set of new wires (Autolites). I did not think I would get two bad sets in a row, but it's possible the Contour has a very hot (high voltage) spark.
Maybe you think it is not electrical because the bucking is violent, but I experienced very violent bucking caused by bad wires.
Here is one way I observed the problem --> In the dark pop your hood, and look at the wires as the engine runs. Also listen for a snapping sound. Rev the engine by pulling the end of the throttle cable (or have someone in the car). I could see (and hear) the sparks jumping between the wires and to the engine block. Be patient, mine sometimes ran for a minute or two without any snapping/sparking.
Good Luck! I know how frustrating this problem is...