A composite ballistic shielding material is formed utilizing ribbons of randomly-oriented film, laid up or woven in bias plies. The sheet plies are made narrow strips of PVC films are held side-by-side and rigidly framed as a square, into a thin layer, and then trimmed. The strips may be approximately 0.010″ wide. The formed up layer is then immersed in a low-hardness thermosetting liquid glue and laid down as a first ply. Subsequent plies are made by repeating the same process, and adding the step of rotating the frame to a pre-determined angle before laying down the ply onto the previous ply. When a pre-determined number of layers or a desired thickness is achieved, the lay-up is transferred to a press for curing into panels. The instant abstract is neither intended to define the invention disclosed in this specification nor intended to limit the scope of the invention in any way.