Industrialization is a term used to refer to the growth in a society in terms of industry, economic and social lifestyle. It has created interdependent economic life and causing families to move to other locations in search a better lifestyle. Due to the suffering, Industrialization promised that prosperity would come causing people to question about religion and swayed them away from the supernatural deity.
Industrialization itself has no direct impact on family/religion.
It is moving from an agricultural or hunter-gatherer society, into a mechanized one.
However, it usually leads to a spread of wealth ... which impacts family/religion. The spread of wealth and access to mass-produced medicines, increase lifespans, which result in families having fewer children (for one).