I pretty much sent in the A-Team here.
I softened the system up with my champion then sent two transports worth of ships in there including 5 colony ships and 11 engineers. They had the station built almost instantly. Then about 10 seconds later it was destroyed but at least it was enough to get the shields down. Now all I have to do is take this guy out.
Just captured the system behind the AI homeworld although I had it for less than a minute. Just long enough to blow up the shield generator. The jump ship idea failed miserably since gravity effects and black hole generators are two different things. At any rate now I can attempt to assault the AI homeworld now.
That cloaked transport strategy perhaps is a little too effective.
While it is most effective against the Gravity Guard Post due to the fact that you can close within a 2000 range, well within range of all your ships weapons, before it releases those gravity drones that slow you down even further it can be effective against other Core Guard Posts as well. I think this is a new strategy to add to the arsenal of tactics here.
At any rate I should be able to bust through eventually. The planet is on alert now and has nearly 3,900 ships in there. Although I almost hope they come through. I have a botnet golem there underneath the shield of my spire fortress. It stays fairly well protected and the wormhole is well within range of it's weapons. It nets me a bunch of instant converts. It's a fun combination. At least until the devourer golem comes through and spoils the party.