I am doing a Dereck Lockwood pattern and what I did was to copy the template pieces, cut them out and use elmers glue to adhere to the fabric. Mine are rectangular - so I placed them on the edge of the fabric and used my 24" ruler and rotary cutter to cut the strips to size. Your pattern looks a lot more complicated that the one I am working on, but something similar might work.
As for as getting glass companies to cut for you... I called where I lived. When I asked about accuracy, they said accurate to 1/16th inch. Told them sorry, that wasn't good enough for quilting.