Well against human players the best fleet is the one that counters what your opponent has built is, but that certainly looks formidable. I'm surprised you build all the capital ships though, while the Progenitor and Halcyon are almost always useful, the other three I'd rarely build more than one of. I consider the Radiance the best of the three due to the best stats and it is a great cap destroyer, but since you don't see a lot of non carrier cap spams I don't usually build too many. A single Rapture is a good addition to strikecraft heavy fleets, and its abilities are decent, but it is rarely better to build one versus another Halycon. And the other captial ship (I don't even remember its name) I usually only use for the Clarvioyance ability and as a home defense ship, meaning I rarely ever build one at all.

I'm not saying that the others should never be built, but in general those two are better capital ship investments. If you are getting a lot of capital ships you might want to throw in a Radiance and a Rapture for diversification, but yes you should have way more Progens and Halycons than anything else.

I should mention that it sounds like you are building a lot of capital ships. While if they can survive long enough to get to high levels they are the best units in the game, before then you can get much more use out of the fleet supply by building frigates. This is a lot more noticeable against humans, as your opponents will like focus fire on your capital ships to destroy them quickly. I'm not saying you should build less, but if you ever venture into real multiplayer you might want to keep this in mind.

Illums are probably the better ship, even after the fixed damage bug, and against the AI I would have many more Illums than deciples. However, human players will build ships to counter your Illums unlike the AI, and many will have a lot of practice dealing with them due to the large number of Illum spamers out there.

No matter how much i play this game i stil remember the Caps as

Prog, Jalapeno, Shoe, Death, The other one

Kol, brick, brick, brick, Marza

Kortul, meh.., ehh.., well..., and EGG

What is the point of having two Halcyon?  Wouldn't Radiance or Rapture be a better choice for third Cap?

Unless you have a lot of cruiser carriers for the Rapture, the Halycon is probably the best choice as it gives a lot bigger boost to fire power than any other capital ship. Granted the amplify energy aura ability doesn't stack, but the Telekenetic Push and Extra Drone Anima allow you to get to level 7 with very useful abilities that for the most part don't effect eachother effect in groups. There are certian circumstances where a Rapture or Radiance might be better, but for the most part they are situational. The Halycon and the Progenator are not, which is why they are used far more often.