Tricky situation for sure.
My parents had a chrysler lebaron that would do the shut off thing you mention, and it was their distributor - extremly minor and normally undetected problem in it that caused the issues. Thing is, their car's problems didn't involve headlights or wipers.
It sounds electrical, and thus the first thing you need to ask yourself what it is that is common amongst all these circuits? The wipers work on one circuit, the headlights are on another, and the engine is on yet another. The only common thing is the brain that controls them all. The PCM (computer) could be faulty causing the issues - could be a grounding problem inside that computer.
The other possibility is water on the wiring. Do you have the famous windshield leak? Thus causing the driver to become soaked at the feet during heavy rainstorms? If so, then maybe the problem is rusty connections under the dash or fuse box. (Or even water getting into the computer inside the engine compartment for that matter)
gut says - computer problem though.
Good luck.
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Sunday, June 8th, 2008 AT 5:45 PM