Of course, we can never be sure what a religionless society looks like for sure. However, I think that by and large , in the western world at least, it has been churches and believers who have been in the forefront of social care and transformation of society from the early Christians rescuing abandoned babies in the roman world , through to monastery social and hospital work, through to the Sally army expansive work. .....and much else beside. Of course , that's not to say that atheists don't get involved, but then, they too are part of a society influenced by Christianity , so we can not even be sure they would be the same or not in a religionless society.