Look at the history of CDU/CSU interior ministers, both federal and in the states. They are authoritarians, and their party line regarding interior politics is authoritarian.

As for calling them Nazis... well, when one looks at the events regarding former Verfassungsschutz chef Maaßen, instituted by HP Friedrich and protected by successor Seehofer until it was no longer tenable, who is accused of having protected the AfD during his term: it's not that far to at least imply ideological support or tolerance toward far right political positions.