Sounds like the OP hasnt gotten very far into the tech tree. There are varieties of modules you can choose from.
1) Get rid of your tiered unlock system. It's bad... the days of grinding to play the same ship with subtle differences is long gone.
The devs switched from a nontiered model to a teired model 10 months ago, now it's open beta. You tell me there's a chance they'll change it again (hint:unlikely).
1a) Merge all the current ships into a single model. And make the choices of the modules you pick vary your model into the different ships instead. This makes the ship more identifiable (Is that the T1 dread? Or the T2? They look the same) and also gives you more meaningful ways to identify a ship.
2) Ensure that each ship has a unique style of gameplay. Give oberon ships lasers that don't have travel time, but do less damage. Give Jupiter Arms ships standard missiles instead of guns, which seek, do more damage, but are slow to hit and can be intercepted... This won't inbalance you game, because your game is not factional...
I kinda like this
2a) Ensure that every new ship that you create is unique as well. Make a carrier ship that launches fighters instead of missiles... Make a healer ship that projects damage reducing shields to it's allies instead of heal beams...
Higher tier dreads can have fighters, bombers or interceptors. As well as an armorboosting pulse. There's also an armor stripper missile.
3) Make sure that these combinations of ships do not prevent people from playing your game... having a match with 4 healers and 5 tanks just... nobody is playing, they're all just standing there shooting... the choices you make should have consequences... and encourage people to play smartly, and tactically.
3a) Add weak-point armor modifiers. So that if you flank a ship, you do extra damage (soft spot where the engines are). The goal is to force players to cat and mouse, hunt, and cover themselves. Reward engaging and proper game play, and not just... blobbing with healers (which stagnates the game).
Sure, more damage from behind would be good
4) Make pods destructible.
5) Make corvette players (people who died on one life maps) spawn at a set location, NOT on top of the enemy... it's absurd if said enemy uses a tesla module.
What? The system tries to spawn you away from the enemy, doesn't always work. Never spawned on top of an enemy though
TLDR: get to higher tiers and try out all of the crowd control options?