This is a civil rights issue - not a religious one. There is nothing in the halacha about the need to separate men and women in public spaces. This is about a few people wanting to control all the people. If anyone is behaving like "Nazis" it is these fanatics who are not content with their own religious observance - they have to control everyone else's. Israel is a democracy and we will fight for our freedom from these evil people who are hilul hashem.
Protests in southern Syrian city after Druze cleric's death (AP)
from the article: Ultra-Orthodox Jews ask Israeli media to help rid them of extremists