For a good number of years here in the U.K I have met people who not only do not define themselves as " religious" but also find those that do wear their faith on their sleeve to be somewhat peculiar.
And yet, many of these same people do not identify as Atheist, most like to come across as a sort of Agnostic: " Well. I would like to think there is something Greater than us", and similar thoughts are expressed.
This does mean though that organised religion is shrinking, attendance at Church, Chapel and kingdom Hall etc has been low for many years here, and is still on the decline. Few who do not attend donate the needed cash.
The decline of the Church of England as measured by numbers actually attending , and apparently those number are falsely inflated somewhat, means that the pressure to remove the 26 Bishops from the House of Lords, who are there by "right", will mount, and hopefully then lead to the establishment of a proper Upper House. One that is Democratically Elected and has actual power to influence Laws and the direction the Government is going.