We have at least a several thousand year history of instilling a 'Panopticum[sic][1]-like psychology' in enormous swaths of society. More of the same.
1. please tell me this is a typo
God is also perfectly good, outside time, unlikely to question your actions, and completely forgiving. Rather different from being watched by human beings.
I do not think belief divine omniscience by itself had much impact on people's behaviour.