PEGIDA is agaisnt the German state supplying arms to the PKK and other Kurdish groups in the fight agaisnt the Islamic State. These people are mostly Marxists who are fighting and dying on the front line against Islamic fascism. But they are also Turkish, which happen to be the largest ethnic minority in Germany. Herr Bachmann and PEGIDA are more worried about the German-Turks influence on the German Government than the fight agaisnt the Islamic State.
This is the test of what PEGIDA's is about, and they fail it.