Tier 0 spam, tier zero spam, and more tier zero spam. I was able to defeat Kzm and ilihc with pure unit spam and good fleet coordination. I pressed KZM and took out all his constructors and frigate factories with my scouts and disciples (my halcyon was destroying his ice planet...he went eco against me!), and when he spammed lrms i moved disciples out but still had scouts in the grav well. Right when i had Kzm on the ropes ilihc came in with 3 vasari carriers and took out my roid and proceeded to my HW. I did as much damage to Kzm as i could and then i recalled my fleet to defend. I pursued his capitals relentlessly. He did a decent job of avoiding my fleet, but I was able to kill one of his carriers in his retreat. I had been able to slowly build an illuminator force to deal with anything KZM was going to throw at me in the short term, and I kept fighting until I had regained my asteroid. My fleet had sustained few losses, while having thinned both enemy fleets out substantially. They were able to take out my halcyon, as KZM almost had it killed but the ilihc's bombers finished off its last 10 hp. It was a brutal fight, but this will show you what the power of the tier zero spam has in store for advent. It is very strong! If you can build illums, do so, as your fleet will be much more effective. Researching the disciple antimatter leech upgrade will help you neutralize pesky capital ships, and any hoshikos that may be built. Just remember, every second you aren't spamming tier zero or illums might mean that you will lose. If you EVER notice your fleet starts to take some losses you should retreat it, as you won't be able to beat a war of attrition with the TEC. If you can avoid getting your fleet thinned, you will win.
Tier zero spam requires constant pressure, if you give the enemy time to recuperate and tech up, you might lose. I would go so far as to say that advent tier zero is a bit overpowered, but then, it is the only real option for advent in the early game. Developers need to expand the early game (with corvettes, I assume) and then think about reducing the power of this spam slightly.