First off, there was no fast play stats to work with - the other races all had a quick reference stats sheet that you could use to put together a three battlegroup fleet for quick play, based on the ships shown on the box cover. All of them were around the 535pt mark (except the Shaltari, but they had Voidgates to deal with), and consisted of a "Gun" Heavy Cruiser, "Standard" Cruiser, "Carrier" Cruiser, 2 "Gun" Frigates, and 2 Strike Carriers - of course there were variations in each, but I think that's a fairly straight forward description of them.
Now, there are two example fleets on the Resistance box - one Scrapfleet, and one Kabal. And unfortunately, I can't really see a correlation between the two fleets...

OK, well, can I put together a "quick start" fleet of my own following a similar layout to the other quick starts, as well as putting together a fleet that demonstrates some of the features of the Resistance?
One of the things that got me interested in the Resistance fleet was the original Centurion Grand Cruiser that Hawk featured a while ago. Its layout spoke to me saying "What if there was a smaller human faction, older ships, allowing me to use EAA equipment" - then I read about the Kalium Kabal.
So, lets base the fleet on that layout - Ablative armour, hybrid gun batteries, mass driver turret. And maybe throw in a couple of vent cannons - because...Kalium.
Strike Carriers are pretty easy - Hybrid gun turrets were my first thought, but, will they really get any use? In most cases, the Carriers would be running silent in a vanguard group, hoping to get early drops in, so, no real use there. If they were part of an invasion Line group, maybe? But what about Sensor Domes for them? The resistance really needs Detector, and you need quite a few Strike Carriers, so, why not give them a second use in that respect? Calligulae-Class Strike Carriers, 36 pts each.
Next, Frigates. These are easy - Hybrid Turret. Although Heavy Frigates with a Hybrid and a Vent Turret is...thematic. Lets do both and see which I can fit in. Pugio-Class Frigate, 28 pts each. Gladius-Class Heavy Frigate, 40 pts each.
The "standard" cruiser. Ablative Armour is the first item on the list, and then the Hybrid broadsides - two sets of them. With one system remaining, it has to be a turret, but is it either a Mass Driver, or a Vent? Well, this is a Kalium fleet, so it only makes sense to include one Vent item. It won't be able to fine mainly, but its mostly flavour. I know the box shows missile banks, but I do agree with achilles625 that CAW for a resistance fleet is really limited. Legionnaire-Class Cruiser, 100 pts
The Fleet Carrier - based on the other Fleet carriers, Fighters and Bombers only, add ablative armour, and at least one Hybrid broadside. Last item is another turret, probably again the vent turret, since its better at range than a mass driver. Castra-Class Fleet Carrier, 105 pts.
Now the big one, the Heavy Cruiser. A gunship, so Ablative Armour, two sets of Hybrid Broadsides, and then two turrets...I am seriously tempted to just go with two Mass Drivers just to match the Centurion...oh what the heck. Make it a little different to the other ships, even though those turrets will only be able to shoot on Weapons Free. I did consider using Artillery turrets instead, to take advantage of Low Power, but only one can fire with that rule. Additionally, the mass driver fits into the design ethos of ships like the Phalanx and Elysium. Opito-Class Heavy Cruiser, 132 pts
Actually, looking back on it, the Opito is 3 pts cheaper than a Centurion, and the only difference is 4 HP, 1 armour, and 1 PD. Does that make it better or worse?
So, final cost of the flotilla:
Opito - 132 pts
Castra - 105 pts
Legionnaire - 100 pts
2 Gladius - 80 pts
2 Calligulae - 72 pts
TOTAL = 489 pts
Well, that blows it! Not even 500 pts? And to be honest, I don't even know how to get it up higher. Compared to the other fleet boxes, the Heavy Cruiser is really cheap (The cheapest CA in the other starter sets is the Obsidian at 155 pts), but the rest is fairly similar - once I put the Gladius in...
Anyway, this is just me doing some late-night theorycrafting, and I figured it would be fun to type my full thought process out. And it was. Still, any thoughts on how to improve the flotilla? Not to make it too hyper-competitive, but keep it definitely Kalium.
Oh, and the second issue with the box was that there was only one Frigate sprue, with four separate frigate bodies and four separate noses. Fine if you're building a scrapfleet, but for a more milliary fleet, like the one I'm planning on putting together, it means that I'm going to have to get multiple sprues to put together all the Strike Carriers I need...
