You might want to shoot your IR thermometer at the wall outlet to the left of the stove to check the temperature there, as well. I wouldn't want that plastic cover and the wiring inside the receptacle box to be 180F. At that high a temperature I don't think it would take much of a draw on the outlet to throw the breaker for that circuit. For example, running a vacuum cleaner out of that outlet.
The wall outlet never gets hot, it stays around 98 - 110