There is a different to raising a child with God and raising a child with the morals and general well being and care associated with teachings of God.
I was not raised to believe in God, but I was taken to church etc. it isn't so much of a religious thing as it is a development thing. My mother had no interest in trying to convert me as she herself wasn't a serious christian, but she was smart enough to still take me to such things while I was young to make sure I understood how to be a nice person etc.
Most people who claim to not teach their children God usually forget such things, and then they wonder why their children don't learn morals and are dicks to everyone. You don't need God when growing up, but you do need a figure to coax you down the right path to be a decent person.