Water pumps, as the bearing fail can blow out the seals and completely dump the coolant leading to a very quick overheat. If you continue to drive and put load on the engine you can damage the aluminum heads. Just a possibility, but you need to figure out what went wrong in the cooling system, else you'll just repeat it with the repaired engine.
With the electronic controls, and digital communications between all the modules, doing an engine swap to a different configuration can be very daunting.
It would require swapping over everything, wiring, electronics and then reconfiguring the body electronics. A lot of that can only be done with the dealer electronic tools, meaning towing it to the dealer and paying out the nose for them to reconfigure it, and hope they don't screw it up.
Not to mention, the 3.7L comes with a different transmission than the V8's. So you would have to swap in a new transmission as well.
So, your choice is, just do a direct replacement of the mechanical 3.7L engine and have the vehicle up and running. Or do an engine swap to one of the V8's and it will easily cost more than twice as much, swapping over electronics and different accessories, transmissions, figuring out dozens of problems that crop up from the misconfiguration, that you'll have to run to the dealer and pay through the nose to analyze and correct with their electronic tools, that will take you 3 times longer than a direct replacement.
Engine swaps today are nothing like what they used to be when cars were much simpler. Just like the, "Can I convert my 2WD version pick-up/Jeep to 4WD" question, after you look at everything involved, you learn it would be easier to just sell your vehicle and buy one that was already equipped with the stuff you want.
BTW, what evidence do you have the engine block is damaged? Aluminum heads warp all the time without damaging the block. Your solution to getting your Jeep back up and running may be even cheaper and easier with just buying a new or rebuilt cylinder head and swapping it in.
Although the timing chain install does NOT look fun or easy on these motors. And btw, I've seen someone that bought a cheap no-name timing chain kit off ebay for the 3.7L/4.7L motors, likely made in china, the chain ending up snapping in less than 100k miles and taking out the motor. Get a quality timing chain.
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