Not to overstate the hightened localist element of the region of Alsace Lorraine, they are Southern Germans culturally, that isolation gave them a self inflicted sense of uniqueness, growing apart from the rest of their people, but not remotely as much as e.g. Swiss German people, (or if we were to go further than that, the Dutch people), although more than Austria for sure, however both are counted as German people, (with the exception of the Dutch, they drifted too much apart), culturally and otherwise, however all other nations, including France, saw them for what they were, that is German, even if southern.
Here I would say that, the Cappadocian Greeks and the Pontic Greeks have way more differences with the rest of the Greek people than the Alsatian Germans from the rest of the German people, a result of close to nine hundred years of relative isolation, (considered with just three hundred years of separation with the Alsatian Germans from Germany), yet they still consider themselves to be Greek people nonetheless.
Now again, they have some compatibilities with French people, their shared catholic religion, but alas, that alone is not enough.