I do think that during wartime, Kirk would have been fully justified in taking the dilithium by force if it might have meant the difference between victory and defeat,
Yeah, see I think Kirk wouldn't do that seeing as he isn't a Klingon. That was kind of the freaking point of showing the differences between the two universes in that episode.
See I can figure this because while he wasn't too happy about the Organians not fighting the Klingons he didn't just shove a phaser in their hands and force them to fight the Klingons. He also didn't just beam down to the planet a declare the Federation's intention to build a base there he negotiated with the locals.
which is the situation the UFP was presented with in INS.
No it really wasn't.