I'm not sure people recognise Gods even when they do show up. Jesus's disciples were convinced until his resurrection that he was a warrior-mystic sent to free the Jews from Roman oppression. My suspicion is the supernatural intervenes continually even when we perceive it as natural.
I agree with your suspicions about the supernatural, especially because I'm fairly certain we are the source of most of it without realizing it. Jesus tried to get this across to the disciples but they never seemed to grab onto it, even though Peter actually walked on water all by himself for a few seconds before "losing faith".