The swap you are wanting to do may be possible, however, it will be a bit more detailed than simply swapping the faceplates. If you place the units side by side you will be able to see the differences I am going to point out. If you look at the top of each unit you will see the center keyway is different. On the bottom, the catches are located slightly differently and the 95 unit replaces the lower key with another catch.
I have never run into a unit with a failed display, let alone two of them so I am wondering if you may have gotten ahold of a unit for a diifferent vehicle. Ford changed the pinouts on the connectors to make sure units would not work from one model to another. The only units I know of that will fit and function correctly are the Taurus/Sable hard button units. Your units should have black cases and should have the part number F5DH-19C933-(XX) on its paper label.
Bottom line. You may be able to repair the units by merely replacing the display (I have several if if you're interested) providing you have access to soldering equipment. If it's something you would not want to tackle yourself, I am willing to help.