That's perfect. This should be the standard response: "BCE, you mean before the Christian Era??? I thought you were a scientist??"
Or you could correct someone who used BC and AD, and when they ask what BCE and CE means you could respond that this is the modern terminology academics use in referring to the times before and after the virgin birth of the Lamb, Saviour of humanity, Lord of Heaven and Earth, the Redeemer, the Son of God who will return to judge the quick and the dead.
That ought to hold 'em. :)