If one simply must "clean" one's engine with motor oil, try Shell Rotella T5 synthetic blend 10w-30. (Rotella T4 "Triple Protection" and Rotella T6 full synthetic are also available in 10W-30, but in my humble opinion these won't work any better as an "engine cleaner" and full synthetic motor oil is a waste of money in a Jeep motor unless one is a believer in extended oil change intervals and drives one's jeep substantially more miles each year than the typical jeeper.)
Motor oils formulated for diesel engines typically have more detergent additives than motor oils formulated for gasoline engines, but more importantly some of the additives in diesel motor oils are better able to keep carbon and other contaminants in suspension which means that more of those contaminants are drained out at oil changes. (Another motor oil favored by vintage air-cooled VW enthusiasts for its ability to keep carbon in suspension is ordinary Valvoline 30 weight.)
Many people have reported benefits from using Rotella T5 in gasoline engines but you should be aware that there are also reports of Rotella "causing" new ticks and noises. However, there is no way to verify any of the anecdotal stories of deleterious effects, and I am highly suspect of claims that any top branded motor oil with the usual industry certifications caused damage to the internal parts of any engine.
Another benefit to Rotella touted by its users in jeeps is that it still contains ZDDP, an anti-wear zinc additive beneficial for motors with flat tappets like the jeep 4.0. ZDDP is no longer used in most motor oils designed for gasoline engines due to emissions restrictions.
To OP:
If I were in your position and wanted to experiment with a motor oil better able to remove deposits in the crankcase and oil passages I would use Rotella T4 10w-30 rather than Mobil 1 or any other synthetic motor oil. My thinking is that two hot oil changes at 3,000 mile intervals should be sufficient to determine whether it is beneficial. Couple that with a heavy dose of Lucas Upper Cylinder Lubricant and Injector Cleaner or Chevron Techron in the fuel tank at each oil change and regular spirited driving at higher RPM's to "blow out the crud" and call it a day.
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P.S.
I would not use Seafoam on a computer controlled engine or one equipped with catalytic converters because the concentrated detergents in Seafoam are hard on cats and some sensors. However, I have successfully used Seafoam in older engines without any adverse effects. It was a common practice "back in the day" and quite entertaining to watch the billowing clouds of white smoke come out of the tail pipe as you poured Seafoam down the intake.
My oil of choice for my jeep is Valvoline Maxlife 10w-30, a synthetic blend marketed for higher mileage engines. I am currently using a Fram Tough Guard filter, although my usual "go to" filter is Wix or NAPA Gold (make by Wix). I have the oil tested by Blackstone Labs every other oil change. Blackstone suggests that I can increase my oil change intervals to 7,500 miles based on the test results, but I intend to stick to 5,000 miles or every six months, whichever is first.