Factory, as in the Jeep gauge cluster is still in place? If so, that's why I was saying you'll likely need to use the Jeep sending unit and it'll probably need a threaded adapter. I THINK the LS ones are metric, but I can't remember.
GM changed a lot of wiring from 02 to 03 in the trucks as well as that hideous front end they went to
I believe 03+ got a 3 wire sending unit and it does, in fact, read through the ECM/PCM.
Whether the GM oil pressure sending unit is bad or not, it likely won't communicate with the ohm range of the Jeep oil pressure gauge on the dash. Hell, the Jeep gauge may have originally been fed through the PCM, I'm not sure, but that's definitely something you'd want to figure out. Most Jeep LS swaps (that I've seen) piggyback the Jeep PCM with the GM one to control the dash and some other things....or they swap out the dash panel and do an insert with a handful of aftermarket gauges.
I'm sure someone has figured this out and has put it on the interwebz though. Off to Google you go!