Some interesting words in Jeremiah where God defines what He would do as evil. Maybe people get caught up in thinking everything God does is good, instead working toward a good
Then the word of the LORD came to me, saying, 6O house of Israel, cannot I do with you as this potter? said the LORD. Behold, as the clay is in the potter's hand, so are you in my hand, O house of Israel. 7At what instant I shall speak concerning a nation, and concerning a kingdom, to pluck up, and to pull down, and to destroy it; 8If that nation, against whom I have pronounced, turn from their evil, I will repent of the evil that I thought to do to them.
Evil is used in two different ways even by us today. A family loses their house in a lighting storm fire, someone may bewail that befell the family. But, they are not using it in the same way as a family losing their house because of arson.
What has been under discussion is moral evil, rather than simply a calamity, judgement or such (as I believe you are referring to).
Check out Ezekiel 28:11-19, Ezekiel is talking to the king of Tyre, but he is really talking to Satan. When you put this together with all the other things that the Bible says about Satan, we see that Satan was trying to take over control, wrest it from God.
Now, for Satan to be as good (capable) as God, he had to create something. But there was nothing left to create, because God had already created everything. There was only ONE thing left that Satan could create that God had not created. That thing was destruction. This is why Satan is called "Destroyer" in the Revelation, in both Greek and Hebrew - Apollyon and Abaddon.
The point is, the only way God could overcome Satan is that He had to take control of "destruction," taking it away from Satan. This is the thing God has done, through Jesus. God doesn't like the idea of destruction. But He is using it better than its creator, Satan.
Ultimately, God will use it to destroy Satan. Then He will use it to destroy all the wickedness that Satan caused. All those, both people and angels, who follow Satan and his ideals will be destroyed by God, as well. Finally, God will use destruction to destroy itself, and there won't be any destruction any longer. This will come about when the New Heavens and New Earth spoken about in the Revelation, finally come into being, after the final judgment.