That proof may work for Islam because they hold to Divine Command, but it does not work all the time. God does not have to have infinite factors affecting his decisions. I would say that God has one factor for decisions in creation, the question, "What system will do the most good?".
The Lord bless you and keep you; the Lord make his face to shine upon you and be gracious to you; the Lord lift up his countenance upon you and give you peace.