When we see the 23rd century defiant in the mirror universe it is largely immune to these weapons and able to destroy ships from that century with ease. That suggests a significant increase in weapons and shield power. Latter ships like the Enterprise D and especially E would be far far more powerful.
The Enterprise E is more maneuverable than the Deadalus and has much better firing arks. It could simply avoid its asgard beams and pound away with its own weapons, its also got a much better firing range than the Deadalus so it could stay out of range altogether.
But remember Federation ships aren't built for battle just to be able to fight in them. If they were desgnigned by the Klingons thats a different story, But all you have to do is look at them and you can tell what to go for, ussualy the big glowing things (Warp naceules, Deflector). Take out the Deflector and it can't go to warp (Can't deflect any space objects) take out one of the nacelles and it will warp circles (Only 1 engine means when active it warps on the stop but in circles, In theory).
The best warships are Defiants and Prometheus class's from startrek.
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