It is not about our logic but about who God is. The problem is that man's theology of God is flawed not scripture.However your statement, from your logic, that because God created everything, then evil is included in His creation is flawed.
Evil is not always man's choice. Before man sinned evil was present. Did God harden Pharaoh's heart of did Pharaoh harden his heart? Scripture teaches both. Who would we be to think other than what scripture teaches. Too many systematic theologies try to synthesize scripture. It is much like mixing mashed potatoes and corn. The result is that you do not have corn or mashed potatoes but an adulterated mess.In the case of God the same is true. God created and it was very good. No evil in the creation. Man then took what God created and damaged it although not by accident. So God did not create evil. Evil is the result of a bad choice on man's part. God had nothing to do with it.
You cannot have good without evil. We would not know good unless there was evil.
Man does not create evil. It is already present and he must make choices. Evil's origin is not in man.