I...wish this film was not so outright hostile to science and reason, and so fawning on rule of passion, violence and militarism.
So you object to the military solution to the films conflict and would have prefered one based on science and reason?
I would say if readers just had this question and a yes or no answer regarding my preferred resolution to the film's main conflict, (Kirk vs. Nero) they might miss the most important thing about that conflict: it's context of a story relying too heavily on contradictory and magical events. Portrayals of Hogwart's seem more scientifically justifiable.
I would say that after asking us to believe that not only Nero was completely mad, he was sometimes written to have super powers like single-handedly taking on entire planets and fleets of Klingon battlecruisers with a mining ship, but also he is written as unable to simply stay out of the path of the burning, sublight wreckage of the Kelvin. The Narada crew is also apparently insane as no group or single member of the Narada's crew ever relieves their skipper, even well into their 3rd decade after his obvious homicidal insanity - starting with the demented murder of Robau.
If viewers can successfully suspend disbelief during 97 minutes through hundreds of unreasonable (and damaging) portrayals and contradictions, endorsing Kirk's final heroic act (the murder of an entire crew because of one man's mental illness) may be easy.
To me, that acceptance is a cognitive high-jump, a running leap of faith far beyond the range of my stubby yet stable logical legs.