I've seen a whole lot of evil done in the name of God. The Bible talks of times when the Israelites raided enemy camps and slaughtered the children and then took the virgins for themselves, all under God's direction. I see God present in that situation, and I see evil.
Just because someone survives a fatal injury or disease doesn't mean it has to be supernatural. There are certainly a lot of things about the human body and disease that we don't know, which would hinder us explaining these "miracles". As for God "showing himself", I've been in situations like that before, and after it was all said and done, I realized it was just made up. I got all worked up and after I came down off of the religious high, everything was the same. The world was just as it was before, as it was after every religious experience I ever had. Saying that God only shows himself but you can't see it is like the fable of the jacket that you can only see if you are a prestigious person, or however the story goes. In the end, everyone finds out that there really was no jacket, and everyone was just fooling themselves so that they wouldn't look bad in front of the others.