sam1955 proclaimed:

You probably want to continue this over in rec.autos.makers.jeep+willys

Is this your ZJ or did you just buy it?
Has either the vehicle theft alarm control unit or power train control
unit been replaced recently?

Did it suddenly fail, or perhaps did the alarm light just stop flashing,
 and then come on continually?

If you close the doors and then lock them with the key [don't use the
power lock or a remote] does that stop this?

Do you ever get an headlight flash or horn sound, or does that alarm
light just stay on all the time?

Have you disconnected the battery recently, or possibly have really
really loose cables?

A steady on with no start usually means the bus between the theft module
and the power control module is defective.

If you get in, close but do not lock all doors, and cycle the key
between off and accessory 3 times, do you get any headlights, horn
sound, anything at all?
This is OFF --> ACC --> OFF --> ACC --> OFF --> ACC and leave it there.