This all took place in the late 1950s - very early 1960s timeframe, which I believe predates any Ford/Mazda connection. I've been scouring the web and my own library for any additional insight into the Ford Cardinal project, and I haven't found a name for this car that hasn't been mentioned yet.
But, as I always say, the search is at least half of the fun - and if it was easy, it wouldn't be on Autopuzzles!