Well, I am a strong believer, but I use CE in preference to AD in deference to my many jewish friends. I always think "Christian Era", and they can think "Common Era".
I do not think there is any kind of scriptural requirement to use a particular dating system.
The BC/AD system of numbering years was not even thought up until about the year 525, by which time we had lost track of the actual year of the birth of Christ. So, the best modern thinking is that it was sometime between 6-4 BC.
Well said.