Christian Atheists and non-deistic Christianity is a growing phenomenon, even among the clergy of many western European churches, where many of the most irreligious countries have majority memberships in the church, practice Christian traditions and rituals such as weddings, christenings and funerals while at the same time having high rates of atheism and agnosticism.
For example, in the Netherlands, fully half of the population are non-theists and 1 in 6 clergy profess non-theistic beliefs. Furthermore, the non-belief in an interventionalist God is not seen as incompatible with the core beliefs of Christianity as taught by Jesus or with tending to the spiritual well being of the congregation. This school of Christian thought has a long history and a tradition with roots dating nearly back to the time of Christ himself.
The only reason that orthodox churches would have all Christians adhere to one set of beliefs is because Paul of Tarsus, whose conversion came well after the death of Christ said so. There is a reason that the Nicene Creed (the Apostle's Creed) is recited along with the Lord's Prayer - it is a singular doctrine that dogmatizes the orthodoxy against alternative interpretations in order to stamp them out.
It's interesting to note that Thomas Jefferson called Paul of Tarsus