[Karl Bebout]

Mike, if you are lucky, you could have a loose or faulty ground, maybe a faulty neutral safety switch? Does the starter drive (Bendix) kick in? Did you try shorting across the solenoid terminals? (i and +)
I'm just throwing stuff against the wall to see what sticks. Do you have an electric fuel pump? If so, can you hear it kick in when you turn on the key? What, if any sound does the car make when you try to start it?