So after going two months without hearing any updates from the dealer, I went to Jeep customer service directly, through a contact us link where I put information of my situation. A rep called me within two days, let me know her name (Lika) and listened to my explanation of the situation (charge fault, service charging system, dealer service said Charging Port part is on national backorder with no ETA). I let her know I had followed up with the service center once a month, so twice. Each time got the same response, no eta on the part, its on massive backorder, etc.
She let me know she would summarize our call via email (which I initially rolled my eyes at thinking false promises) and she would call the dealer directly. She was extremely nice so I thanked her for her time and hung up, not really thinking anything would be done.
Well go figure, she got it all taken care of. She called me back about 3 days later. Supposedly, dealer had not even ordered the part. It was ordered, and it arrived within two freaking days. I went out of town so had to wait almost a week to take it in. Just got the car back today, and it is CHARGING!
Lika is going to call me sometime tomorrow according to her promised follow up. She was amazing.
Long story short, definitely leverage the contact us link, below is the exact page I used. Do NOT wait on the dealer to own this for you, the Jeep reps will hold the dealer accountable and get it done. I initially gave the dealer the benefit of the doubt, not wanting to cause them any trouble (I work in the tech industry where supply chain has killed us as well).