Ok so here is a full report from my perspective, after the obvious initial colonisation.
Essentially the battle for me was over the volcanic world and asteroid on the front lines. I was keen to hold the volcanic in particular, given the lack of metal on map (as Advent I wasn't up for competing with Vasari over Belts).
My flagship was lost due to unfortnuate timing of the save and reload - during the time I saved the game the flagship was heavily hit, although at least in position to phase out, but when the game reloaded the stubborn thing span around to face the odds again! I just managed to get it out but it was quickly finished off by Eets' waiting bomber squadron at the other end of the phase lane.
I had been aiming for a shield spam strategy but losing the mothership kind of upset things, so I replaced it with a Radiance, hoping it would count for more in a straight out fight. It was taken down faster than a pro-democracy website in China by three lvl 4 caps plus Eets Enforcers(!), which he had teched to without us noticing. Having noticed (and fretted over) Hobo's fast Assailant spam I had teched to Defenders and hoped Rokkit and Therlun would be able to handle the caps and Enforcers, but facing the caps and Enforcers was too much, plus Therlun had to retreat to handle some pirates, and although the Defenders performed admirably against the Assailants and Javelis, it wasn't enough and the volcanic was lost.
From here I had no cap, little metal and no fleet, but plenty of crystal and cash, so I researched Guardians and Illuminators and began (slowwwwly) building up a new fleet, more to support one of the other guys than to stand up by itself. But by the time I had even a small number of ships together we'd lost even more ground, and found ourselves out numbered, out eco'd, out cap'd, and on the retreat on all fronts, so decided to surrender rather than force a long drawn out defeat.
We really didn't do a good job on this one. We failed on scouting, and didn't co-ordinate well enough as a team. Our initial expansion would have served us well had we managed to hold onto it, but GE responded too quickly and were a step ahead on strategy throughout the entire game.
Grats to GE, but although you may have won this star, the Rebels and Yanks are far from defeated.