We need a government to secure rights which can be taken away, which by definition are not Natural Rights.
I don't really understand the concept of "natural" rights. Rights only truly exist if infringement can be prevented or results in some kind of liability. That generally requires some sort of civil action, making all rights in essence civil.
I think the concept makes sense in countries that don't have a Constitution - certain rights become in a sense inalienable, even though no provision has been made for them by statute. But I think that still makes them a form of civil right.
(avatar by Thomas Nast)