Whether or not Jewish women of the 1st century AD shaved their heads and wore wigs - I doubt it, but it might make interesting research. I do know that Paul was "on" about women being authorities in the church, and I think that has a lot to do with it.
As for me, the cover, looking "holy" and whatnot... I was going to do it inside (except for taking son to school/pickup) because then I could concentrate on what it did (or did not) do for my relationship with God. I already know about the looks from other people. I get them for wearing skirts most every day! And I *have* worn a cover to church, I got compliments. :)
SoCal definitely is its own little weird place for "looks" or not. There's a lady in my church that comes in her sari, I see muslim ladies with scarves at the mall all the time, and "body art" is so normal that I was the only mommy in my son's preschool who DIDN'T have either a piercing or a tattoo.. including the teacher and the nice mormon lady ten years my senior. The "ladies in skirts" tend to be Mormon or very conservative Catholics. We don't see many Christian covers here at all. Or "mainstream" Christian ladies in "modest" (skirts, long sleeves) outfits. (The ladies at my church are most likely to show up wearing jeans). So - look at me? Yes... but not so much. It's not the issue of their eyes, it's the issue of my heart. Y'know?
More later, my breakfast guest is here. :)