CE is short for "Christian Era" and BCE is short for "Before Christian Era". Imagine for a moment that you're someone who is bothered by AD and BC, but not by BCE and CE... no, I can't imagine that either. :')
As someone around here pointed out recently, either way the starting point is Christ, so I fail to see who's getting fooled. :') I will use AD and BC for the duration. (':
CE is Common Era (not Christian Era), which is a meaningless term. It still dates time to the birth of Christ, which is what those scholars want to avoid.
I thank you for the enlightenment, but I still feel the "No Under God" folks think it is Common Era. If we continue to call it Christian Era, they will go back to the usual delineation, BC & AD, it save ink and keystrokes.