It could all come crashing down in spectacular fashion. After all, there is little concrete to go on yet and a long legacy of hostility and broken denuclearisation agreements to recall. But both leaders clearly want to make a mark on this issue and their personalities are certainly helping fuel a rapid pace of progress.
So, for the moment, it is fair to say onlookers the world over remain guarded, in a state of cautious optimism. Still, there is no denying the power of the images of Kim and Moon's meeting in Korea's demilitarised zone. The pictures of supposed enemies, smiling, shaking hands, reaching across the great divide and then stepping over the military demarcation line at the border into each other's territory were significant and hugely symbolic.
The world has witnessed a mighty step towards peace on and denuclearisation of the Korean Peninsula.
There are immense hurdles and great uncertainties still, within North and South Korea and from other nations including some of the very powers also involved in negotiations.
As Israel, Iran and the US enter a new war of words over the Iran nuclear deal, it is clear old foes do not make overnight and easy bedfellows. Is Trump - who is simultaneously debating pulling out of the Iran nuclear accord and building his own Cold War-style Mexican wall - sincere? Can Kim - whose "rogue regime" has reneged on all the previous denuclearisation agreements - be trusted? What are their hidden motives? What compromises will they be willing to make without losing face?
The will of the world may largely be with them, but the weight of history is surely against them. Let us hope - for all our sakes - this is the making of both of these two mavericks - and a brave new world.