Random veil thoughts

I always just thought the wearing a veil was similar to Middle Eastern culture, and I believe in some forms of Judaism, women wear veils in the synagogue too, (but I'm not too sure on that). Anyway, I thought it just tied into a modesty issue. Also in Judaism (at least in more orthodox forms) and Islam, men and women sit seperated from each other in the mosques and synogogues, the same as in our temple. Again, isn't it more of a modesty thing? Not sure, I never really questioned either practice though--randomly enough--since Muslims and Jews have the same practice, I thought it fitting that we would too. Same roots, I guess.