Then we should be able to say the opposite. One doesn't choose not to believe in God, they just have not come to know it is true because God has not provided that knowledge.
So, if someone does not believe in God, its okay because that's God's fault?
Did you ever have a rock tumbler when you were a kid?
You start with rough rocks and course grit. The rocks and grit grind into each other to round off the rough edges. Eventually as the edges round off you remove the old grit and add a finer grit. Eventually using a very, very fine grit to give the stone a smooth and shiny finish.
I believe our spirit is the stone and suffering the grit. We grind into each other slowly wearing off the rough edges. Some spirits are very course and very hard. They take longer to wear away the rough edges. However when a spirit is ready it will be moved to finer grit.
All spirits are being polished, some take longer, more processing. At some point in the processing the grit seems to be the holy spirit and an awareness of God. Doesn't mean the process is finished it just means it is time to add a finer grit.
I don't know when a spirit is ready for finer grit. I have to trust God knows. However I suspect us, people grinding into each other is part of the process.
So welcome to the grind. I imagine if the rocks in the tumbler had self awareness the process would not be all that comfortable for them either.
To answer your last question, is it God's fault? Maybe, I don't know. I'm not sure what God had to work with when he started.