I have some happy progress to report! I've completed the left MFD, and it's assembled and working. It just needs a coat of black paint.
I built up the right MFD and the glue is drying on it. I did the front bezel slightly differently, using screws instead of nails. This made it a lot easier to work with, to mount the PCB, etc. I will still glue it on, but the screws made taking it on and off for adjustments possible.
A photo of gluing the TFT retainer on the right MFD: