I just had a problem like this last week. fit yours almost exactly. my problem i believe since it has worked fine since i fixed it was that the wires on the positive side of the battery were corroded. They heated up and melted and bubbled the wire insulation. I had to cut the bad insulation off clean what i could clean and spare what wire i didnt have to cut off and put on a new battery terminal lead. So far so good. So i would cut away all the tape on the plastic wire covers on both your positive and negitive battery terminals. then look at your wires. If anything looks corroded or bubbled cut it off or clean it the best you can.You will probably have to get new battery terminal leads that you can screw your wires to your starter and jeep in. Its not starting because its not getting enough power through the wires to start it because of the corrosion and your wires may have broken off. Try that. Its what my problem was. hopefully this helps you.
99 WJ,4" Lift, 265/75/16 Treadwrights, RC wheel spacers, Sound System, CB, HID's with amberless headlights, Rola Rack...ect.ect. Money pit!