No, theists believe that God actually influences events, not just "apparently".
You said it yourself - it's just a belief rather than a demonstrable fact, so apparent is the correct word. Nice footbullet, by the way.
It doesn't make a lot of sense from the atheist side either as you lot don't think there is a God to have the power of apparently influencing events by any means.
Correct.
You are making a positive claim here that it is "just a belief" rather than a (demonstrable) fact. Such an assertion made requires backing up since the burden of proof is on the person making the claim.
You have misunderstood my own claim. If God exists, then it he does more than "apparently influence" events. If there is no God then to speak of God doing magic would be stupid. If God does not exist, he cannot do magic.
Thus you are quite at liberty to speak of Christians being wrong in attributing things to God, but to speak of magic is plain silly.