Mutually assured destruction is the theory that if two parties have devices that can kill eachother pointed at eachother there will be peace because it is known that if one party fires the other party will also fire and both will be destroyed.
You're saying North Korea will cause world peace?
"North Korea" and "peace" can't be used in the same sentence, man.
It'd actually be pretty simple to destroy Earth's ecosystem with a nuclear war. Fire nukes at a nuclear-capable nation, you have hostile nuclear missiles flying towards you faster than you can say "So THAT'S what the red button does..."
Radioactive fallout, sky-blocking dust clouds, nuclear winter. Very few large animals, like humans, will survive. Assuming both sides fire enough missiles to cause that, that is.