"Normal" right-wing as in conservative would be CDU and CSU. To quote the Federal Constitutional Court (Bundesverfassungsgericht) [0]
>Die Nationaldemokratische Partei Deutschlands (NPD) vertritt ein auf die Beseitigung der bestehenden freiheitlichen demokratischen Grundordnung gerichtetes politisches Konzept.
The Nationaldemocratic Party Germany (NPD) stands for a political concept aimed at abolishing the free democratic constitutional structure.
[0] https://www.bundesverfassungsgericht.de/SharedDocs/Pressemit...
edit: fix'd formatting
Horrible.
Also, banning a political party is quite a big hammer, regardless of how important the party itself is.
What I'm having trouble following is the logic of "the violent extremism on the other side is less bad, because it hasn't led to similarly horrible effects yet".
Also, there's the continuous effort to ban the right-wing party (NPD).