I have to disagree with a lot of the posts above, we have missiles that work on interia based system where it is possible for them to miss. If it was inertia less then it would be impossible to miss if the missile travel at a higher speed then the space craft. I am happy to argued on this but you would be wrong <smile>
We have space craft which is interia less. So manuvuering is out as a dreadnought can turn in space as fast as a fighter.
But the basis of treat missile AI the same as a human pilot, I don't think so, the AI missile may dodge a little, or zig its way to the target but, it would not do a loop, roll, jink and fly 180 from the missile, so you cannot treat a missile AI the same as a human pilot because the unpredictability factor increases 100 times. You could create a manuvuer rating with the commander if you liked.
Now if increasing of fighter speeds just make them more armour facs it make no sense either.
What we need is fighter countermeasures against missiles, to allow beam fighters a chance to close in. I am not talking ECM, but things like thermal flares, that can create enough thermal signature to confuse the missile. Mix that with a 6 or 8cm Beam weapon you would have a fighter that runs roughly the same speed as a missile fighter, but has an chance ability to close on a missile based ship.