Well, the AfD are often accused of being Nazis, and some actually are, but most aren't. They are of course right-wing assholes, but not all right-wing assholes are Nazis, and most AfD members, while dreaming of a xenophobic authoritarian régime, expelling refugees and leaving the EU which is all bad enough, don't want to start a world war (though if they and their counterparts in other countries came to power, that would bring the threat of war back to western Europe), and don't want death camps back. And they of course don't use swastikas in their campaigning at all (well, many neo-Nazis don't do so either, preferring legal ersatz symbols like the black-white-red flag of imperial Germany, which shows just how little is achieved by banning symbols).
And most AfD voters aren't even that, they are just frustrated long-time unemployed and other people in difficult social situations who vote AfD in protest against an establishment which they think aloof of their concerns. Many of them voted Die Linke in earlier elections, i.e. the other end of the spectrum, for precisely the same reasons, and the demographic profiles of Die Linke and AfD voters were very similar this time, too. Some may have simply flipped a coin to decide which of those two parties to vote, and may decide differently in the next election.
It is at least a sign of relief that the AfD seems to be falling apart just after the election. Their chairwoman, Frauke Petry, has announced not to join the AfD parliamentary fraction, and now it seems that she is going to leave the party entirely. Not the first time that this would happen: her predecessor, Bernd Lucke, also left the party and founded his own - of which nobody ever heard anything soon after.
And as for the decline of the SPD: Many European social democratic parties are in a similar situation. I think this is to a large part due to the fact that the traditional voter base of such parties - blue-collar workers - is rapidly declining in post-industrial Europe, and the parties have difficulties winning over new voters from other milieux to compensate for these losses. It is also that many people are still pissed off about the labour market reforms they enacted during the "red-green" coalition. (Again, similar things have happened in other countries like the UK and France.)
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Last edited by WeepingElf on Wed Sep 27, 2017 3:31 pm, edited 1 time in total.