Common meaning:

The white population birth rate is in a state of equilibrium.

Hidden meaning of the Equity religion: 

White people are happy with the racial status quo of white supremacy.

Discussion:

The Equityists believe that white people are comfortable with their racial position at the top of the hierarchy and don’t want their position of dominance to be challenged or changed. The whites don’t have to deal with the reality of racism in society that non-whites are faced with every day.

Equity people believe, by faith, that all Western societies are irremediably racist. This means that any white people who are comfortable with the status quo are supporting white supremacy. 

It is true that some white people don’t like the declining numbers of the white population, but many more react negatively to terms like “white equilibrium,” not because they are white supremists but because they correctly perceive that the religion of Equity is attacking the foundation of a liberal and fair society.

It is not a matter of equilibrium, but truth.