A starting point in the Forum (some of the links are dead):

(51) How to install a Motorcraft 2100/2150 carb to replace the Carter/Rochester? | Jeep Enthusiast Forums (jeepforum.com)

 

The OEM smog items you plan to remove are very much in demand in states that have a visual inspection and smog testing - such as California. Members are always looking for them. Don't just toss in the dumpster.

Have you considered rebuilding the OEM Carter and keeping it smog compliant for future owners? A friend removed the OEM Carter BBD carb due to hesitation on acceleration. When I rebuilt the original BBD for him, I found a bad choke pull off, accelerator pump out of spec and fuel vapor vent not closing.

Sometimes a good carb cleaning and rebuild can save considerably expense. If it's an original California CJ with a serpentine belt, it is valuable and may retain more value as a stock CA Jeep due to their emission testing.

 

Does it not run with current setup, or just want a different carb?
Consider rebuild of the Carter? This can be a good move too, as these carbs have been running for decades, and serving well. Simple rebuild can make it perform as it once did.
Or just preference to remove smog crap?

In AZ and have an '81 CJ5, which came with a Solex carb, recently replaced with an MC2100. Leaving all the smog crap on it, as who knows when I will need it, and runs fine with only slight change on some vac line routing.
Engine power difference felt like I pulled the I6 and put in a hopped up V8. Very happy with the MC2100 swap on mine.

As you can see I had to modify my throttle cable bracket (temporary but works good), so might be one of your biggest hurdles in doing the swap on yours.
Just be sure to take lots and lots of pics before, so you can plan what you need to do after, and get it all to work on paper as best you can before turning wrenches.

 

The install is super easy, aside from the throttle linkage.
Here is how I did mine. I've been daily driving it with this set up for years now.

The piece of metal came from the metal bin at Lowes, the hardware came from one of those lokar throttle linkage kits I had laying around. Everything else is OE.

The adapter I got actually came from that eBay guy, but I think it's an off the shelf item.