Answer:
I don't know for sure if this will help , but, I own a 1991 Cherokee 4.0 and the alarm went off any time it wanted to . I researched this problem and found the alarm system is tied into several other systems . I shut mine up by pulling fuse number one in the main fuse box under the dash . Ofcoarse I lost high beam headlights also but haven't had to fight the darn alarm going off all the time . Another way I hear is to remove the right front door pannel and cut a purple wire of some sort . Don't know if that works .