If I remember from reading Biblical Archaeology Review, the top ruins are actually from the 4th century Anno Domini; "B.C." (Before Christ, which incidently is politically-incorrect these days) was probably a typo.
Sorry, I was being way too obtuse. I meant that it was an amazing feat of engineering to put a 4th century "BC" level on top of a 1st Century "AD" level.
Anyway, agreed on the BCE and CE convention. We all use it in this field and it's not a problem.