Yes, BCE/CE were created to replace BC/AD.
From what I understand CE was originally an abbreviation for ‘Christian Era’ but was changed to ‘Common Era’ so that the word ‘Christian’ would not need to be explained.
It’s a coverup and worse it’s a revisionist encroachment on Christian heritage.
AD stands for Anno Domini, the year of our Lord. Since a large percentage (over 2/3) of the world's population doesn't believe in the divinity of Jesus, it would not be reasonable to expect non Christians to refer to Jesus as their Lord against their will. I think it's entirely appropriate for you to use AD - but I think it's unreasonable to try to compel others to do so.