Hmmmm...I've never thought about whether man backfills with a rebellious spirit or God is sending a deluding influence. Scripture shows that both are often the case. In the days of Noah God would no longer strive against man-clearly an indication of the first situation. But yet there are times when God influenced the situation such with Ahab or Pharoah. How God works is left to a divine mystery.
Perhaps it appears as though this matter lies in the same "mystery" department as "Where does the universe end?", or "What were the Nephilim?", etc., but I believe this is one of those matters which is in fact disclosed in the Book.
It, of course, returns to the ever-troubling matter of whether there exists such a thing as "free-will" in any being except God Himself. If one is persuaded that the Bible teaches that there is such a thing, then it would follow that this matter is a mystery and that certainly the Noahic episode is evidence of this.
However, if one is persuaded that the Bible does not teach that men are "free", but rather God manages all things, then it would follow that God, alone, is the scripter of all events of the universe, all actions of history, and all matters which transpire. As you might suspect, I find this latter perspective all over the Scriptures.
What to make of God's calls for man to "decide" something? This is of course simply the Author writing into the script a situtaion wherein a character is told to decide. The outcome, however, is always determined, always planned, always the exact expectation (even the work) of the Author. This is how the Father arranged for the Son to be executed according to His, "foreknowledge and pre-determined plan". He knew it was a necessary part of the drama to save us from ourselves (and hell, too, of course).
Hundreds of seeming "free events" are pictured in the Scriptures, only to be later revealed as completely controlled by God. Even God's call to Adam, "Where are you?" was not actually a request for Adam to fill God in on something He did not know, but rather just a part of the script displaying the renegade nature of man running off from His Maker. All things are occurring exactly as determined by our Lord. Perhaps this seems Hyper-Calvinistic; so be it. The Book tells us this is the case.