I'm still not sure whether there are separate sides of the street for men and women in Bnai Brak, but according to the comments on this post, they do exist in New Square, the all-Chassidic village in New York.

Apparently, street lamps with orange signs on them mark the women's side; street lamps with blue ones mark the men's side. The road in between (on Shabbat, I presume....) is mixed. The locals apparently get very upset when out-of-towners come for weddings etc and end up on the wrong side of the street.