Had similar issue with my 2002 Jeep WJ, I removed the ASD rely and jumped it out, viola! no more SKIM problems. I believe the SKIM activates said relay to allow fuel & ignition to work, jumping the relay contacts accomplishes the same thing - fuel and ignition are still ultimately turned on-off by the key anyway.

I'm sure some nervous nellie will be chiming in to tell me how terrible my "fix" is, I don't care, it's been working fine for over a year.