1995 Jeep Cherokee car thinks it's being stolen. Security

I have 94 Jeep Grand Cherokee that sometimes won't start because the factory security light blinks on and off and the car thinks that it's being broken into and won't start. When I put the key in the ignition I can use the radio and all of the electrical things, but when I turn the key it won't start.

I've reset the battery, put the key in all of the doors and turned them. Started from scratch with the doors locked, unlocked the door with the key and the same problem remains. The security light continues to blink on and off and the car won't start. Any ideas? I took out many of the fuzes to try to pinpoint the security light thinking I might be able to disengage the security light blinking. This didn't work.

Please help. It took me 4 hours of resetting the battery in the cold last night before it finally went back to normal for a bit