Update. I don't post a whole lot but ,WOW, can't believe the one dude tried to make the post "BS" with the Australia thing. I do feel for those guys in Australia BTW if we can't get parts here and it must be bad there for parts. I do live in the Phoenix area.
There are no water pumps for the 5.7. It sounds strange but there really aren't. I'm still in a little disbelief about that. I know the 3.6 seems to have a history of failures. The Wrangler forums are full of stories.
I met with the GM of the dealership. The service manager wouldn't call me back. He was very concerned about the issue(s) and I believe him at this point. I talked to him about my experience from day one with the service department and he appeared to take it to heart. He promised to get back with me by the end of the day and he did.
I heard back from Jeep. They are going to extend out my rental until Thursday for starters and follow up with me then to see where we are with the water pump. The GM is working with his parts department to see how we can get a water pump. Jeep is doing the same thing apparently. So, everything is being done nationally and locally from what I'm told. Right now I'm still looking at mid-November.
The one poster brought up a good point, is my pump off my Jeep right now or is it just sitting there on the Jeep all crusted up or whatever. I need to find that out. How do they move the it if they can't start it up. If they have a little mule to move it, what do they attach it to? Maybe it is a simple answer.
If anyone runs across a '12 5.7 water pump from their service department let me know