You say you have a My Book Live Duo, but you posted in the My Book Live (not-Duo) forum.
The Duo forum is here:
http://community.wd.com/t5/My-Book-Live-Duo/bd-p/mbl_duo
Second, your PC won’t be able to read the partitions because they’re EXT3 / EXT4 format, which Windows doesn’t natively support. You’ll need to load EXTx drivers to read the data.
Yes, in theory, if the issue is with the chassis, you can put both drives in a new box and it’ll work fine.
