She won't resign.  She'll turn Germany into a police state instead.  Watch for her to double down on her free speech restrictions.   At the end of the day, when push comes to shove, it looks like Germany is now led by East German dictator. 

http://www.breitbart.com/london/2015/09/17/german-govt-hires-ex-stasi-agent-patrol-facebook-xenophobic-comments/

It is apparently "sedition" to complain that the German intake of more than a million migrants is bad, and this apparently is enforced by a former Stasi worker.