They may ask the local police to ask you for this but you do not have to provide such. Only a warrant will allow them to. Not saying it is wise to resist, but there is no law that says they must ask nor any law that says you must comply. The FAA is not a law enforcement division, and their jurisdiction is only on certified pilots and registered aircraft. The local police do not have jurisdiction and of course may ask, but you do not have to provide. In short a "Law Enforcement Reference Card", is not law or regulation.