Engine dies, but turn the key off and back on it fires right back up

When all else fails remember;
voltage is pressure/amps is flo.
You can have full voltage into a device, yet the device won't work cuz there are just not enough electrons able to pass into thru or out of the device.
This fact has frustrated more than a few shade-tree mechanix.
What I mean is this;

You can take a multi-strand wire and separate the wires at one end, then connect just one of those strands to a power source. Inside the wire-bundle, the strands are all touching eachother, and so, on the other end, every strand will show the voltage of the source.
You might be able to measure the source-voltage with your VOM just fine, and you might be able to power-up an LED bulb Test-light with it. But just try powering anything up on your car with it.
When in doubt, always try pulling some amps thru a suspect-wire/circuit.