I think many women would appreciate having women-only cars. Even if they're not religious. It isn't uncommon for women, especially attractive ones, to be harassed by men when using public transport. I think many would feel more comfortable and safer in a women-only car. But having one for men only is really stupid. If you don't want to look at women, then don't look. Read a book or lower your hat over your eyes or something. But you can't ask for a men only car.
Police on scene of shooting at Savannah State University campus in Georgia (Reuters)
from the article: Jerusalem light rail may have segregated men-only / women-only cars