The way I understand it, a constitution frames a government, and a BOR declares principles of, or limits up, that government ...such that the USBOR was intended to bind only the federal government, that being the only government framed by the associated constitution.
The Bill of Rights limits the ability of the government both Federal and State from infringing on the rights of the people. To that end it clearly spells out some rights of the people. It does not grant any rights it places limits on what the government can do, Federal and state. The ninth amendment even states this quite clearly when it points out that the rights of the people are in no way limited to the rights discussed in the amendments.