How does a human-operated ship mitigate anti-missile counter-measures better than an AI operated ship, assuming the same munitions? You have yet to give a single concrete example. If anything, a human-operated vessel would have a worse reaction time than a machine-operated vessel (or AI-operated if you want to be romantic). This is simply due to the physics of operating a biological construct to mechanically manipulate things instead of an electronic construct to manipulate much smaller things on a much smaller level.

And to sum up, you've used these as synonyms in the argument:

strong AI

general-purpose AI

human-like AI

These are completely different things. What, exactly, are you referring to?