I guess I'll be the a-hole:
There's very little to commend this design. It has flaws in almost every conceivable area, except one: it's original. And to me, original is only as good as the execution, and I'm afraid that you won't be able to execute this without some serious consideration. Here's some food for thought:
- The horns, as mentioned, are problematic in terms of stability. Also, they'll be hard to actually shape-- where there's a will there's a way, but it won't be easy (take a scrap piece of wood and try shaping just one "horn-like" piece). Also, there's not enough clearance in the upper frets. Your hand is going to bump into them and you're not going to be able to play properly. In addition to the horns being plain ol' thin and weird and curly, they're just too 'extended' compared to the body, creating a weird imbalance.
- The body is extremely small. I'm a big fan of small bodies (incl. the Steinberger GL-type guitars-- y'know, the "brooms", as well as Johnny Winter's Laser), but their design goals are completely suited to the small size. For example, neither of those guitars have horns. The Steinberger Synapse has an extendable doodad for the strap, but it's straight, not meant to be integral with the look of the body, and stays out of the way. It's probably not going to sit very well on the lap and it'll probably feel weird because there's nowhere for your forearm to rest. That's like a Steinberger, too, so you wouldn't be the first-- but since your guitar's shape seems to at least "want" to be a standard guitar shape, it's something to seriously think about. Unless your entire design goal is to make a very compact guitar, you need to revisit the shape and size.
- You MIGHT have room for the electronics-- but it'll take some planning. You seem to have rounded edges, and even compact guitars like the Steinbergers are rectangular so that cavities can be realistically put in there. You only have 2 close-together knobs; I'm guessing, 1 volume for each pickup. I think you actually COULD get it to work, but it'd be fiddly, and without at least a switch you're working with a bit of a bear: each time you want to use JUST the neck or JUST the bridge, you have to twist two knobs.
- And my honest opinion: it just looks bad... there's nothing appealing about it aesthetically... (to me).
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I don't mean any of the above to discourage you. Rather, the opposite. I think it's time to take a look from the ground up and tackle it with renewed enthusiasm and dedication! You yourself said you're not sure you like it, so perhaps it's time to try another design attempt. Take into consideration everything-- your materials, the size, the feasibility of certain features (the horn), creating a balance.... while at the same time perhaps holding onto some of the design characteristics that originally inspired you.