Bummer!!
I would do this;
First clean off ALL the old glue. You want clean tight fitting raw wood.
Trace out the side profile onto a 2x4. Do this for BOTH wings
With a jig saw cut out your tracing. These 2x4s now become your form fit clamping blocks
Line the inside cut of the 2x4 with some paper, towel, t shirt or what ever will pad it a bit.
This way you will avoid damage to the body.
A great way to apply glue is using a foam paint roller ( the kind you use for trim, the small ones)
Tom Anderson guitarworks uses this method.
Roll out a thin layer of glue on both pieces and clamp till you have glue squeeze out .
To protect the wood on the top and the back from absorbing the glue, which could be a mess later on, tape off the top and back with some blue tape.
Hope that helps
Roman