Wouldn't it actually be quite groovy if Christian women shaved their heads?

As we know, the Bible says that women who don't cover their heads in church should shave them. My wife has done that for that reason. Would it not be quite subversive for women to do that? The stereotypical image of a Christian woman is of someone with long hair. And while they're at it, shouldn't they also dress like skinheads? I'm just saying it would undermine stereotypes.