Nero murdered 6 billion. Kirk Prime (and Chris Pine's is just as "real") never came up against ANYTHING like that - not from anyone accountable (i.e. not the doomsday machine)
Khan had every intention of killing billions with the genesis device, kirk still did not blow him out of the sky when the reliant was a sitting duck. That is the character of kirk, and the mark of a good starfleet officer who practices the principles espoused by the federation.
You mean like when Kirk offered to help Nero and his crew, even over Spock's objections?
What you see as a crime, I see as Kirk ensuring that there was NO CHANCE Nero or any part of his ship could survive to reek havok further in the past. Something he only did AFTER his offer of mercy was rejected.