Yes, you probably missed a few lessons in high school. When I went there, I was taught that separation of powers is an important element, amongst others. This clearly does not apply to Hungary anymore, as the highest juridical power is an inner circle person (Tunde Hando), other important positions have also been filled with Fidesz's (the ruling party) people without any consensus with the opposition. This includes the constitutional court, the president of the republic (wait, what? Hungary is not even a republic anymore :) ). The police got and executed on direct commands from the PM.
But if you don't like that, here's a short excerpt from Wikipedia: "No consensus exists on how to define democracy, but legal equality, political freedom and rule of law have been identified as important characteristics."[1]
We don't have any of these. Or, to put it in an easier to digest way: all of these have been regularly (and increasingly) violated by the govt.
As probably a fellow Hungarian who likes (is emotionally attached to) this government, I understand you are OK with it, but it doesn't make the current system any more democratic. Fun fact: the Kadar system called itself democratic too. But it's judged from the outside, for obvious reasons.
[1]: https://en.wikipedia.org/wiki/Democracy#Characteristics