I'm currently in a campaign playing Centauri vs an Abbai and a Psi Corps fleet, and the Psi Corps was doing pretty well until last turn, when he had to fight both of us (he attacked my Industrial world, the abbai attacked his) and took a bit of a kicking. He still holds 3 of the 7 Targets -including one of the Industrial Worlds- but he hasn't got enough RR to replace what he lost.
Having to deal with the stealth has been interesting, and a little aggravating at times, but at least his stealth isn't as good as the Minbari. The really kickarse fighters he's got hasn't been much of a problem for either of us, we both have plenty of Anti-fighter or Twin-Linked weapons to throw at them. Most annoying thing so far has been his ability to roll big crits right when he needs em, but then he did it in 1st Edition too
The Shadow Omega didn't seem that impressive, but then it was caught in an ambush and died before it could line up its boresight, so didn't really get to see it in action.
On another note, the Brivoki is a beast vs smaller ships (smaller ships in this case being from about Battle level down), I currently have my Adira out hunting for the little bastard to add to it's trophy wall of Armageddon level kills, right beside the Nemesis, Victory and Ka'Bin'Tak.