While I agree that the two nukes were a critical tipping point for Japan, they accounted for a tiny fraction of the total destruction brought upon Japan and its people.
But all the rest of the destruction and death didn't make the Japanese give up (much like the Blitz didn't make us give up and us bombing Germany didn't make the Germans give up). The two bombs dropped over four days changed everything, instantly. The enormous effort expended on the conventional raids on Japan affected their material ability to fight but not the mindset, so I would argue that the atomic bombs solely brought about an early end to the war.
