Hi Ben,
I think your ID difficulties are due to the fact that your dad altered the body a lot, not a little. The only thing that suggests this guitar was ever a Vox are the stamped pickup covers and maybe the tail piece.
The closest models I can find that may have served as the basis of your guitar are the Clubman and the Ace.
The Clubman has the right pickup covers and a headstock that looks like it could be modified into the one on your guitar:
 
The Ace has an offset body that looks more like what your body was cut out of. It also has a Trem unit that is similar to the one on your guitar. However, the headstock looks too pointy to produce the headstock shape on your guitar.
 
So, I really don't know what model your guitar began life as but it doesn't matter anymore. I'm afraid the modifications are so extreme all you have left is a homemade guitar with some Vox parts on it. All I can guess is your dad was going for the Apache look. You can see a picture of a Vox Apache under the Vintage European Guitars forum.
See the Vintaxe Vintage Guitars link page for companies that sell fret wire. If you want to match the existing wire you'll need to measure the width of the wire currently being used. You can probably get a rough idea using a small-scale metal ruler from a hardware store.
So, that's what I see, I'll leave it to the Vox experts to tell me I'm wrong and what you actually have is a rare prototype Vox that never went into production. Let's see what people think. Thanks for the post. sb