Trying to trace a problem with no click/no start on a 98 wrangler.

What is your question?

I was given a 98 wrangler from its previous owner for free due to mechanical issues it had. I’ve already replaced the radiator and fixed an exhaust leak, but the major problem is that the ignition does not turn over with the key. The person who had it before the previous owner installed a button behind the steering wheel connected directly to the starter and will start the car when the ignition is in the on position. My issue is that for it to pass inspection, it needs to be able to turn on from the key. The ignition switch, actuator, and key cylinder have all been checked and replaced. I checked the relay in the fuse box, and that wasn’t the issue. My only guess is it could be a broken wire or an issue with the grounding possibly? Could anyone steer me in the right direction? I’m a bit lost on where to go next and how to go about it. Thank you!