Yes, it is somewhat true that the AfD addresses people's problems - at least they make it seem that way. But their rhetoric also ensures that people blame the wrong groups for these problems. The conservatives in the USA do the same, as do the right-wing populists in other countries. The Nazis in the Third Reich also did exactly that - it's nothing new.
Believe me, I have tried to understand why so many people don't see through these simple tricks and even allow themselves to be misled into voting against their own interests. I have had discussions with AfD supporters, both online and in real life. I have come to the conclusion that these people are either hopelessly under-informed because they only consume the corresponding social media content, or accept everything their leaders put in front of them in a sect-like manner - even the most ludicrous false claims that can be easily refuted. In both cases, I have very rarely been able to convince people that they are wrong to blame immigrants for all their problems. Over time I have become so disillusioned that I no longer believe that these people can be persuaded en masse with rational arguments - they simply want to believe that they are right and go through the greatest lengths to keep believing that.
However, I am not prepared to abandon a fact-based political discourse just because some particularly loud and snivelling people make life too easy for themselves. So I don't think that the left should also spread lies, rely on sub-complex explanations and blame some make-believe enemies. Nor do I think that is even possible.
So I must honestly say that I have lost faith in the functioning of democracy. Not because of any military thread or something, but because of the convenience and idiocy of the people. Maybe it can get better when the right-wingers are in government and fail completely - or it will get even worse when they get in a position to impose their inhuman ideology on all moderates in autocratic structures by force. In Germany that has already happened once with disastrous consequences and now we are on the best way to make history repeat itself.