Maybe I'm not understanding you - but - there are several things that don't quite add up.
You say you have a RAID1 configuration, but then you go on to speak about "looking at the drive in slot 2" - how are you looking at the drive? Are you physically removing it and connecting it to another system or are you doing it with the drive connected to the DNS-323? You also speak of being able to access both drives individually.
With a RAID1 configuration you should NOT be able to access both drives individually - there should be a single logical drive called Volume_1 - so either you're confused and you had a RAID + JBOD configuration, in which case you would have two logical drives - Volume_1 & Volume_2 - and the data on Volume_1 would not be seen on Volume_2 at any time (unless you manually copied it over) - or - something has gone seriously awry with your DNS-323 and it is showing you the two physical disks that form the RAID array as individual volumes, but still reporting a degraded status.
Setting up RAID1 again WILL format both disks and wipe your data in the process, so that is not an option - when you do a manual rebuild you will not be given the chance to choose which drive will be the source - unless you force it using the process that lizzi555 has outlined - and you have no guarantee that the drive you think should be source is the one the DNS-323 thinks should be source - especially give what I would consider a confused configuration.
What lizzi555 has suggested might work - but only if the unit is infact in a RAID1 configuration, but, if it was then you would not be able to access the drives individually as you seem to be doing now.
You could pull the drives and inspect them one at a time on another computer, decide which one you want to be the source and then wipe the partitions from the second one, put them back in the DNS-323, rebuild and hope for the best - or - and this is one I have not tried - sync them externally using a drive imaging program and then put them back and see how the DNS-323 reacts.
All-in-all - I would say there is only one safe way forward, and that is to backup the data, reformat, and restore - and yes, I did read the part where you said you don't have the room to do it - well, how much is the data worth to you?