Hi Jack,

I probably would just go the screws. Gluing it will definitely be overkill and it also means if you have to do something to the neck, you'd need to steam the glue joint apart, which will stuff your finish on the body.
The screw joint will be more than sufficient for your kit and gluing will only make life harder down the track.

I like the look you've got going there, what have you used on the neck?

Cheers!