Really?! That's insane! You're so right about the US system being fear oriented. Over here the midwives are v relaxed about things and just let them run their course until there's an actual need to intervene. They only check the cervix after 41 weeks. It's so very normal to go over the 40 week mark, no need to get worked up about it, right?
Making women worry over these useless things only slows things down, cause stress will hinder the release of oxytocin which you need for labour to start.