05 JEEP TECH QUESTION

TIPM issues are very common on these Chrysler products. You can unsnap it from its holder and lift it out and look underneath where all the different harnesses plug in. Wouldn't surprise me if there are corroded connections under there. I know this because I have fixed quite a few of them.
Also if you look at a wiring diagram that vehicle doesn't have a TIPM it instead uses a IPM.......so your diagnostic strategy of all blue cars have failed TIPM's just got tossed out the window.......I am a BADASS with this type of thing and if someone wants their car fixed in relation to these type problems then they would be highly advised to listen.