Sounds do-able. Certainly I've reassembled quite a few "basket cases" that sound in much worse condition than this.
You need hide glue...the clear "pearl" type is best, and no other type is ever used on a violin (I don't use anything else for guitar work either but some have different ideas...see previous threads on the subject!). Also different strengths of glue are generally used for different parts of the fiddle. If the side has straightened out it may need to be re-bent which can involve some work with heat or steam (most luthiers use a special (often home-made) bending iron for this).