Which Religious Organizations Count as Religious?

The definitions of religious organizations that the federal government is deploying in the context of the mandate, which requires health plans to cover a wide range of contraceptive services, have great religious-freedom significance not only because they will determine which religious freedom and conscience claims will be honored, and to what degree, but because they embody a governmental conception of what is authentic religion. 

That evident conception has proven to be greatly troubling to many religious organizations, both houses of worship and faith-based service organizations.