Bombers, by nature, are always going to be threats to larger ships. That's actually how they are supposed to be... the whole point behind them, even. The problem, I think, with this game is that their true counters, fighters, are not able to deal with them quickly enough.
The first problem I see is in the way fighters engage their targets. They make a run at it and then fly by... and keep going for a good distance. At the least, a fighter engaging other fighters or bombers should not behave this way. On the initial pass, they should almost immediately attempt to turn to reacquire their target and then ride its @$$ until it's destroyed.
The second problem, which kind of ties in with the first, is the fighter's rate of fire. And someone correct me if I'm wrong, but looking at the .entity files it looks like they have 10s RoFs?? Really? They should have this greatly reduced and have the damage reduced so the DPS remains the same. This will provide for less overkill and allow the fighter to quickly switch targets and re-engage when its target is destroyed.
Third, and perhaps more importantly than the above points, the one thing that most all fighters have in just about any fighter game I've ever played, is missiles of their own. An idea would be to give fighters, and possibly even some anti-strikecraft frigates, missiles that target only strikecraft. Long RoF, but high initial damage. In all honesty, a fighter should be fully capable of destroying an enemy bomber on the first pass. As is, it takes what? 4... 5 passes for 1v1?
Finally is the delay between target reacquisition. When one target is destroyed, fighters will delay for a moment or two before acquiring a new target. I actually see this with Frigates/Cruisers, too, although much longer of a delay. But that's a different topic and I realize this may be an engine limitation or may be caused by game lag.