I don't expect any military intervention. I'll tell you why I think that;
1. The Chinese quite like the idea of America and it's allies being threatened by N.Korea. It pre-occupies them from threatening China and it's wider interests in the region. The US has bases around China and is trying to reduce it's influence.
2. Any war would result in M.A.D for Korea (North and South) and Japan. Neither of three nations are keen on the idea, regardless of what any of them say. Millions would die in a very short timescale, especially since Kim has nuclear weapons. This makes the threshold for war a lot higher. Kim literally has to attack someone before war starts.
3. Kim has nuclear weapons and can reach American territories as well as regional bases. I don't think China and Russia would mind sacrificing Kim and North Koreans if it meant widespread destruction of American bases around the region. They'll happily see Kim fight a war to the last Korean. Also the fact that he could actually kill quite a lot of Americans would make the war very politically costly in the united states. After nuking Korea in revenge, people would ask whether it was really neccasary to play the part the US is playing in escalating upto the war, particularly if he hit cities on the US mainland, even a few of them.
I think the time for military intervention was before he weaponised his nuclear weapons and and missile program. The threat was lower but at the same time the risk was lower too.
I think the plan now should be a Chinese backed coup in N.Korea. To do the Americans will need to please the Chinese, possibly by pulling US bases out of areas China considers it's own. If China doesn't feel the US presence as a threat, it doesn't need a mad dog to guard it.