Here’s what happened when mine broke.
I went to drive it to work one morning, turned the key and it just started to crank then stopped and nothing. All gauges, lights, radio and fuel pump priming was normal. No clicking or anything. I suspected it was the actuator, but that night when I got home, I tested a few things. Battery voltage was good, swapped the starter relay with another one in the PDC with no change, disconnected the small wire on the starter and made a jumper with a female spade terminal hooked to the starter and touched it to the battery positive and the engine tried to crank. Checked that same wire I disconnected from the starter with a voltage meter and got nothing when turning the key. I had to wait until the next day to work on it due to my work schedule and appointments. As soon as I pulled the actuator from the ignition switch, the broken piece fell out.
You'll need a T-10 security bit.
https://wranglertjforum.com/threads...p-wrangler-unlimited.14995/page-7#post-962803