!!!!!!!!!!!!!!!!!!!!!
I think the high limit thermostat did the trick. I changed it out, and dried a very large load. For the first time in the dryer's history the clothes were completely dry at the end of the automatic cycle. I monitored the thermostats. The new high limit thermostat never cycled once.
I think I will also add an indicator light that will illuminate if the high limit ever starts cycling again.
Tom/John/Malcolm/DADoES - You're awesome. Thanks for the help.