I am probably way out there on this one, but here's a thought...
Way back in the day, a buddy of mine had an over sensitive inertial switch on his Mustang. When he would shift hard or launch hard it would cut off the fuel pump for a split second thinking that the car had been in an accident. Took some time to figure that one out, but once we bypassed the inertial switch, problem solved.
Not sure if these cars have an inertia switch or not. Old Fords had them located in the trunk with a button that could reset the switch.