It's a pretty tragic situation when Korah decides to rebel against Moses. The problem is that Moses was the one appointed by God, not Korah. And when God is challenged, He always has the upper-hand.
There is a strong lesson to be learned here about challenging the people whom God has placed in leadership. Ultimately, if God has put a person in such a place, then one would be wise not to question that decision. The big issue, then, comes down to discerning whether or not God has actually placed a leader in his or her position. Before removing a leader, one must carefully seek the Lord's direction lest he or she fall into a similar fate as Korah. Okay, so that's a really bad pun. But seriously, removing a leader isn't something that should be done lightly. Only after careful prayer should the quality of one of God's leaders be challenged. In fact, it would be better to do nothing than to lead people astray.