Maybe I missed it or something...but was the truck stolen?? or just a parent/relative let a kid drive their car??
If it was a parent or friend, or relative letting someone drive, they AND their insurance should certainly be on the hook.
Not sure how the insurance companies handle matters like this, but if YOUR insurance is going after the full amount from state farm, they should pass that along to you by NOT charging your deductible. OR at least refunding it once they settle. AND, if they settle for anything less than full recovery, it is their own fault and not yours and you should still be entitled to full compensation.
Now if your insurance co is only going after what they are out of pocket, a simple call to state farm should recoup your deductible.
Either way, you need to call your insurance company and ask them these questions. And see how they are handling things on their end. Make it very clear that this is NOT your fault, and should NOT be subjected to your deductible, and that you want full restitution. Find out if they are fighting for you, or if you have to deal with State farm. Then go from there.