This is just my opinion, but the new AI has some real problems. The patch itself has some irritating problems to the point where I call it broken.
It seems to me that the workers are cottaging to the point of insanity! I know the theory behind why to cottage now but it is ruining the game. It seems the production levels of cities post patch have gone down dramatically. I am seeing cottages on hills, flood plains (This is stupid, the river should wipe out the cottage every year when it floods...

), basically everywhere. This is resulting in cities with very low production levels. As a result, the only way I can survive on Prince level is to declare war on the civ's and fight, fight, fight. The AI's cannot compete in war because there cities are all geared towards blazing tech rates while I gear my cities towards a balance of production, science, and tech. Prior to the patch with my skill at war, I could not handle being at war against 4 civ's at once on Prince level. It is doable now.
I do like to play peaceful games sometimes, peaceful games are extremely difficult on Prince. Peaceful games are very doable on Noble. The difficulty gap is *huge* between the 2 skill levels. War-like games are fairly easy on prince. This isn't right. Peaceful games should be (relatively speaking) no easier/harder than a warlike game on a given skill level. (Though for different reasons...) I have played several of each on each of the two skill levels. Civ should support all modes of play equally. It is ridiculous to say that this game is only about making war. I have played Civ since Civ 1 and enjoy the peaceful games just as much as I enjoy the war like games.
In general, I am all in support of making the skill levels more difficult because the AI is smarter instead of cheating. However, I would appreciate some balance to the various modes of game play. And, the solution in my opinion is not to drop a skill level, because in my estimation, Noble isn't much harder than it was. Prince is quite a bit harder than it was. The skill levels need to be consistently more difficult as the they increase. Name them whatever you want.
Also, why is it, when I use a Catapult to bombard a city on some occasions, the defense rating goes up instead of down with every attack???? I drove the defense rating of a city from 60 or 80% to 118% in 3 turns of bombarding. I could see the messages announcing the results of each bombard go up!!!!
I am stripping off this patch. If some people like this style AI, I recommend making this an option so that those of us who don't can turn it off.