Common meaning:

A society that is not controlled by a religion.

Hidden meaning of the Equity religion: 

We need to turn our society into a religious Equity state.

Discussion:

The Equityists believe that the Western experiment of a secular state has been a failure. It has stunted our humanity and prevented us from developing as complete humans. They believe that Equity is the solution for this problem.

The Equity evangelists have made it clear that the only acceptable outcome for our Western society is for everyone to become Equity converts. 

Throughout history, if you were a member of a tribe, you believed in and followed the god(s) of that tribe. Christianity came along and over time introduced the idea of having a separate church and state. We can see the germ of this idea when in chapter 13 of Romans, Paul talks about how we need to submit to the government because their authority comes from God. 

Equity wants to take us back to the past where everyone in society is forced to follow their tribal god of oppression and hate.