1996 Sunfire GT starting problem

Since I have had this car, I have had wierd problems with it. It stalled at a stop light and the speedometer was jumping up and down as well as the rpm tach. Then it stalled and would not start again. I had a similar problem a while back when I was driving it dropped the rpms down as I was driving and I pulled off of the road and it died. The only thing that I noticed that all the lights were on but the theft light was on. Since now I had it towed, is it the theft system that could be causing it not the fire over and turn the fuel pump on to send fuel? I read some of the threads and they state that others had somewhat of this problem and they had to get the system removed out of the car. It doesn't have a alarm on the car, so I am assuming that it is the ignition switch and if it is tampered, then it triggers it. I pulled the battery post off and let it sit to reset and no luck. Any help?

There was a recall on the ignition switch on these cars. IT would go bad. The alarm only keeps you from starting the car. IT won't kill it after you've started it.

Does this faulty ignition switch apply to the 96 se as well?