You may be aware there are differences between how Christians regard The Bible, and that includes Genesis, and the way Muslims regard the Koran.
Islam contends that the Koran is the very words of Allah as spoken in Arabic to the prophet Mohammed.
The Bible (the word means library) is a collection of works assembled over time, and accepted as scripture. The writing is the writing of those who have been convinced of the God who encounters us, and they were convinced or inspired to record the revelation as they understood it. It may well be that very few of them as they wrote believed that they were writing scripture - I suspect that if Paul thought we would be hanging on every word in Romans, his Greek may have been a bit tidier at least.
The argument that God wrote Genesis to my mind at least is a little simplistic, and claims to much, where as it is more reasonable to take it that God inspired people to record what they understood had been revealed. The God I find in the Bible is not a puppeteer, he is the God who works with people as they respond to him.
The Church, and Christians generally, receive the Biblical Texts as the story of faith, the tradition that kindles our own faith, and the measure by which we can understand our own experiences of God, or what we believe to be of God, and test our claims.
2 Timothy 3:16
All scripture is inspired by God and is useful for teaching, for reproof, for correction, and for training in righteousness,