I have the same lights....and had the same problem..
The lights are very easy to change out, look on the internet for replacements. What you need is the same length or longer LED lights, you can cut them down to whatever size you want by cutting it on the cuts lines about every inch.
Make sure they are 12 VOLT replacements.
Start by removing the cover coming out of the TT to the lights, cut the wire leads and remove LED strip by pulling it off TT.
Use a plastic putty knife and GOO GONE to remove leftover adhesive.
Unroll new strip starting at wire leads, at this point the best way to reattach leads is by soldering it, if you can't solder the leads you can also use wire connecters (the crimping kind).
Turn on the power to lights to make sure they work. If they do, all you need to do is peel off the back of the strip to expose the glue strip and press the lights into place. Replace the cover and use ( a little silicone) to keep leads water proof.
Should take about an hour at most. Good luck.
The best part about replacing the strip is that you can pick whatever color you want.
TT-2015 Cherokee 274dbh TV-2010 Jeep Commander Limited