Once again, the media mis-characterizes any European attempts at protecting its identity as "extreme" right.
The AfD is concerned about Islamic immigration and how it is destroying German culture, opposed the bailout of Greece, is opposed to gay marriage and supports the privatization of state-owned corporations. They are skeptical of the EU.
Its ties to (socialist) neo-Nazis is tenuous and largely incorrect. Presumably (without evidence), a magazine that German neo-Nazis support was handed out at one AfD meeting.
The AfD has been associated with the NFD. The AfD tends to be more scholarly, the NFD tends to be somewhat more youthful.