Getting back to Larry's problem, I would first recommend disconnecting the ground wire from the battery.
If I am following your post correctly, in addition to the engine shutoff, you have strange things happening with lights and wipers, right? A burned fuse contact is of concern as it could indicate some crossed wires or wires grounding out. Look under the dash, along the steering column and the backside of the fuse box for evidence of melted insulation, paying particular attention to any wiring going to and from the ignition switch, wiper switch, wiper motor, and headlamp switch and instrument lighting. Also check to see if items in motion under and behind the dash, like pedals and pedal linkages, steering shaft, wiper motor and linkages, etc., are brushing against wiring anywhere. If you find any damaged insulation, take note of the color(s) of the insulation and check your car's wiring diagram to see what it is supposed to power. You'll want to trace the wire as far as possible to insure there is not additional damage down the line. It is also wise to check the general condition of the wiring harness where it passes through the firewall and other points in the body. If the rubber grommets have perished then the wire bundle can be fraying against the metal, grounding out hot circuits.