I'm not sure why you are concerned about putting people into your categories. Your system may make sense to you, but it is irrelevant to observant Jews.
Jews -- at least religious ones -- don't believe that there is anything to your concept of the "ethnic Jew". That concept, which is the basis for Israel's Law of Return, exists only because non-Jews (Hitler) imposed it. (The turn-of-the-century mayor of Vienna, Karl Lueger, was famous for imposing anti-Jewish laws but associating with people who, under his rules, were "Jews." He famously retorted, "I'll decide who is a Jew.")
To religious Jews, a Jew is someone who's mother was Jewish (according to Jewish law) or who converts to Judaism (according to Jewish law).
Religious Jews would not feel a strong ethnic affinity to someone who's father was Jewish but who's mother was not Jewish (unless that person converted to Judaism).
Oh, we all put this or that in categories. However that
wasn't what I was concerned about. I wished to understand
those folk around me better.
You bring up some points that I hadn't considered and I
will keep my ear to the ground to see how it plays out.