I doubt anything bad is going to happen-for a change. The US government for the past few weeks has been holding low level talks with the North Korean government and talks were basically to improve relations and were going quite well. Just remains to be seen wether or not his son has what it takes to control the military. Won't be surprised if there's some sort of power struggle soon
The major plus is that his son has never so much as fired a rifle, so he may instigate change(here's to hoping). It is wrong to stereotypically say 'he's just like daddy', not until we see how he is in power.