Well, I've taken mine to the dealer twice while it was having various 'episodes' (screen flashing, volume can't be adjusted, or no volume, can't control anything, etc etc etc).
I seem to recall the McIntosh amp having some problems in others' cars too, which might cause static. Mine does a weird thing where the sound cuts out and back on from right to left when a phone call interrupts the music, too. I feel like it needs the head unit replaced foremost, and then other issues can be chased if they remain.
So far, they haven't even been able to order the head unit part yet as they have to get authorization from Jeep corporate for a new 'head unit', but that should happen today or tomorrow (I'm following up on that today with Jeep customer service).
I'll definitely be posting followups as this all gets addressed.