Ask the average person on the street what AD means and you will hear very few say it is an abbreviation for the Latin term "Anno Domini," which means in English, "in year of our lord." More commonly you will hear people say quite incorrectly "After Death." It is easy to see that if AD means after death and BC means before Christ, there is a 30 year or so gap in the record. There is no need to confuse people with this by trying to explain to them that AD does not mean after death.
CE which can also be used to represent "Christian Era" equally well as it can to mean "Common Era," and BCE which can mean "Before Christian Era" just as nicely as "Before Common Era" should not be offensive to Christians nor considered to be an attempt to wipe away their historical influence on Western society. If there must be confusion over what a particular abbreviation means, then we should err on the side of accuracy.
I personally love the way "In year of our Lord" sounds, and in my personal writings, date things using it as opposed to an abbreviation in a foreign language. In year of our Lord, October 12, 2007 just has a much better sound than October 12, 2007 AD.
No one is going to force a person to use CE or BCE, and since they mean exactly the same thing as AD and BC as far as dates are concerned, it is not like you are going to be asked to learn a separate calendar. The Gregorian Calendar (named for Pope Gregory XIII,) will still be used as the most accurate calendar available short of the Mayan calendar, which might take some time to figure out before one could use it.
Finally, since AD and BC are not even accurate as to when Jesus was born, using them instead of the more accurate CE and BCE just doesn't make sense. Clement of Alexandria says that Jesus was born in 3BC according to the Christian History Institute (http://chi.gospelcom.net/DAILYF/2003/11/daily-11-17 -2003.shtml) and how much sense does that make? Jesus was born in the third year Before Christ? It makes much more sense to say Jesus was born in the third year before the Christian Era or the Common Era.