First - BACK UP YOUR DATA - if you had a backup, you wouldn't be terrified. RAID1, as my signature says, is NOT a form of back up, and you will still need to back up the data when running a RAID1 array.
Next - I have added a second drive, just as you are doing, and built a RAID1 array, without losing the data on the original drive - I did it as a test, because other people were complaining that they lost data when they tried to do it, I don't know what they did differently or wrong (or even if they did anything wrong), but it worked for me.
In other words - I see no reason why it should not work for you, but if you don't have a backup, and you lose your data, you have yourself to blame, for not making a backup of your data.
By the way - when you add a new drive, the DNS-323 doesn't prompt you to reconfigure RAID1, it prompts you to format the new drive - you have to select RAID1, if you want it, it's a choice that you have to make. Are you sure you're reading the screens correctly?