i've had something similar happen.
ke20, 5k, elec dizzy, running the original alt from the ke20. started it about 5 times during the day, was x-mas shopping. on the way home, pulled over for some car parts, went to start it, slow turn over, like a flat battery, then smoke from the wires going to the alternator...the plastic around them was smoking. let it sit for a bit, tried again and it did the same thing. i started calling around for a ride home, then it starts to rain about 30mins after i tried to start it the last time. cursing my head off, i give it one try for shits and giggles, and it starts perfectly...
so in short, i have NFI, but possibly check your alternator... disconnect it and start the car.