Theft Light On

My Ford Taurus is haunted. Periodically my gas pedal would move on its own then the “theft light” would come on as the engine decreases in RPMs. Once in a great while all the warning lights would come on and my engine would shut down. I can always start it again right away. The local Ford service dept. cannot find the problem nor duplicate it. Anyone have this “condition” with their Ford or another make?

Ford’s been building the Taurus for a long time. What year is yours?

And how many miles currently on the odometer?

2001 with 87,000 miles