This is not the case. It is precisely God's mercy that those who believe in the age of accountability have in mind when they discuss this doctrine. They don't believe God breeds puppies to kill them if they potty on the rug (This may be a harsh analogy, but I thought it fit).
That is God created the men He knew would deny him , and that would be judged guilty and sent to hell on the day of Judgment .
No, we do not have the same problem. To know that someone would deny God and to cause them to deny God are two completely different things. You can argue that they are not, but it is obvious that they are or all of us Arminians would be Calvinists.
How is leaving people in their sins "causing" them to deny God?