I am not familiar with interfacing a quilt other than small areas for applique. I have quite a bit of interfacing, but use it for bags, pillow backs, small organizers for my sewing supplies and the like.
Facing a quilt is different. It is generally used for smaller quilts, such as art quilts or miniatures. There would be no binding if a quilt is faced. It is an edge finish that is used when the maker feels a binding would be distracting from the overall design.