I corrected the problems with the FACE interface (file is attached), it should now hide correctly using the Pose. However, in modeling mode, no Pose will hide anything...you'll have to select the geometry you want to see and then hit the "H" key to hide everything else.
The face rig bones don't look like they are being used, you appear to be going for a muscle-based setup. If that's the case, you can delete the mouth, cheek, jowl, ear, nose, tongue and brow bones. You can also delete the "Face_underlying_controls" Poses.
In order for the FACE controls to work, you will have to set up your Poses using the Poses in the "FACE Interface" folder. Mark Strohbehn's tutorials for setting up the FACE controls with muscle Poses are linked on
this page.
Hope that helps, Steve.