From my vote to this decision there are so many layers of abstraction that I wouldn't even begin to have a clue who to vote for and in which election if I do or do not want this E-ID.

At least in national elections there are parties campaigning with a platform and then I can decide which platform I like best. How often the platforms of the elected parties get translated into reality is another question, but it can at least plausibly be described as demos kratos. Maybe the EU is "democracy" in some modern sense of the word, but in the original sense of the word it is not. (I'm not even saying that's a bad thing. Maybe it is in fact better to have elites deciding.)