Well, it should certainly be over the RCMP, and yes, I would include members of Parliament under the same circumstances as the current SIRC members operate. The Australians, as I said, have done this for awhile and it seems to be working fairly well and they have the same kind of regime as we do.
Evidence of meeting #54 for Public Safety and National Security in the 41st Parliament, 2nd Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was csis.
A video is available from Parliament.