> But government police forces are all working for the same people.
Not really.
In Arkansas, the county sheriff is elected - as is the Justice of the Peace, who has limited police powers as well. There are also state police, municipal police, and various state and federal agencies with law enforcement powers. Each of these groups work for different entities, some of which are mutually exclusive.
> These religion-based police forces are definitely not.
A police force operated by a church is no more "religion-based" than the Securitas guy standing outside the grocery store is "retail-based".