Wow...

It sounds as if whatever the AI is setup to do, it is definitely doing it well. It is always interesting seeing massive battles against the AI, especially when the AI is able to come back after losing 6 cities, and retake many of them. It would be great to hear how some more of this behemoth battle goes (maybe with a screenshot!)
First the most important for me. The prebetatester in this game made it through the whole CCM techtree without freezes and CTDs. Congrats MarineCorps

Here is a screenshot of his war against the Aztecs. The German war (that he finally could win) took place in the azur circle on the minimap. The just ended war against the Aztecs and the screenshot is in the yellow rectangle on the minimap. And as you can see, there are still plenty of other strong civs on the map.
The screenshot shows, that the AI in CCM is using carriers. So the AI carrier has no planes on board, this ship in CCM has long range lethal bombardement and the blitz-flag for several attacks with an bombardement range equal to half the range of the planes that were stationed on that ship. The attack animation of the carriers in CCM is changed to starting planes (that Wyrmshadow did for carrier fidget animations).
Here are some more reports of that betatest:
"I declared war on the Aztecs. My military still hasn't recovered from 2 wars from Germany. I thought it had but then I looked at how many units had landed and saw it was only 130 units. About 85 tanks. And the works part is that I don't know how big their military is. I can't get a spy in there. I do however have a large and modern fighter wing. Granted my CAS wing is nearly non existent. I have a large colony in the north that borders the aztec. However it is WELL defended by a large but mostly outdated fighters for air defense but loads of infantry stacked in groups of 20 on barricades on hills. My ships have landed their loads and are heading back. 8 turns to get there and another 8 turns back. Germany was 6 turns away total."
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"It is not going well. I am holding them off in the north but my invasion in the south isn't going anywhere fast. My transports, or whats left of them, haven't made it home and won't for another 2 turns. Aztec heavy bombers are pounding them every turn. I have a large carrier group (3 AEGIS Cruisers, 3 Missile destroyers, 8 missile cruisers, and of course 5 Nmitz class carriers carrying a total of 40 F-4Bs) heading to meet them at the end point but they won't be there for another 2 turns."
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"I managed to make peace with the Aztecs. Managed to get around 10 cities. Learned some lessons. 3 groups of aircraft carriers are positioned along the path along with land based fighters at either end. I have a Nimitz loaded with some of my remaining P-47s escorting them, once it reaches the end point it will offload the P-47s onto 2 Yorktowns and recive 8 F-4Bs in return. My northern defense line held however a couple of the barricades in front of the line were destroyed and will need to be replaced. I'm replacing the Modern Infantry on the lines with Mech infantry. This way the recon cars can't retreat. Major problem. 3 cities have culture flipped back. I also learned that with a total of 16 turns to get a ship to and from the homeland I need a faster way of getting there. Therefore I am building transport planes and Ekranoplanes. Very important that I get reinforcements to the war zone quickly. Also producing AH-64s in the North. Crap again. My Air defense in the Northern colony has been destroyed because I wasn't guarding the airfield. 20 outdated F-86s. Gone. That was half of my air defense for the colony. I don't have the ability to replace that many fighters. The Japanese Colony is producing AH-64s, my mainland is building Air transports and modern Armor, and the Germany colony is still building improvements. My air force is stretched thin as it is. Hmm."
Here is a screenshot of the Aztec counterstrike. All tanks around the attacked city on the left side of the map are Aztec light tanks.
And here you can see a screenshot about the bombardement range of a carrier of the Forrestal Class.