I'm not sure who is more unhinged - Kim or Trump. Perhaps it doesn't matter. 

What does matter is trying to find a way to avoid a catastrophic war that would inflict millions of fatalities (and even more casualties) on South Korea, Japan and North Korea. The USA would be spared because NK does not have a delivery system to reach North America and according to best guesses will not have that capability for about a year. So there is time for meaningful face to face negotiations. The global economic fallout would also be crushing.

Surprisingly the only two Americans that have any credibility with North Korea are Jimmy Carter and Dennis Rodman. (Can you imagine a more diverse duo?) It is entirely possible that both would try to get the necessary negotiations started, but they need a Green Light from Trump. 

This is not the time to save face or show who has the bigger 'sword'. Failure to at least attempt to start face to face negotiations will answer the question of who is more unhinged.