While a little flak support can be helpful, you're usually better off building more carrier cruisers and building fighters than investing in flak.
Also: 40 cobalts!? are you nuts? You're going to get slaughtered by LRF's. I build a couple cobalts as necessary at the start of the game for colonization purposes, and then otherwise I don't touch them unless I see someone skipping directly to carriers. They're decent mid-game support with saboutage reactor, but otherwise not worth the money. Too little damage and too vulnerable to LRF's. Spend that cash on bringing out carrier cruisers instead, or more of your own LRF.
The army you've described will get slaughtered by someone who techs directly for LRF (this will be agiven against a Vasari opponent, and against Advent you're in for a hammering against those illuminators). They will be teching directly for LRF's if their scouts catch wind of your buildup, and a decent scouting party will be able to see that much.
Sova isn't bad, either. It's not a good first or second cap, but I often bring it out third for Embargo. All you need to do is fight a battle in the enemy's homeworld (or somewhere they've put up lots of trade ports...) while using embargo. Win or lose, you've crippled their economy for several minutes and you've got all that extra cash to spend. The Sova isn't about winning battles, it's about winning the war.
The Advent HCs can't stand up to a Kodiak, so don't even try
Your capital ships have better support abilities as Advent. While TEC do have their own strong cap abilities, most are direct damage abilities. Dunov is the only one with genuine support abilities, and even then you're not even in the same league as malice, shield regeneration, energy amplification, or vengeance. If you consider all the late-game capital ship comboes Advent has, it's the Kodiak that needs to be careful. If you can keep malice on a group of Kodiaks, your crusaders will slice through them like butter.