Thanks Beauty026201. I really appreciate the responses from you as well as Reptile and mikedinthecity.
I've thought about the neutral switch and will try and check that on my next day off(Wed.) As far as the coils go, when this happens, the engine won't even spin over. Can a coil cause that? I did notice the last time I drove it, if you get into it pretty hard there is a VERY SLIGHT miss under load. Normal driving, you don't feel it and the car runs fine. The problem is when you try and start it. It's like you unhook the starter. You get all the lights, the fuel pump is running but when you turn the key to start, nothing happens. If you release it, pull the key out and try again, it starts right up.
I did think of something else this morning. There is an after market alarm system in the car that the dealer installed. The installation work is really bad and the dealer is no longer in business. It will kill the ignition. I'm going to try and bypass that part of it and see what happens.
Thanks again for all the input.