It depends on what kind of coverage you have and how much your premium is. Do you have collision comprehensive, or just liability? Also, what is your deductable? Depending on that, it might not cost enough for insurance to pick it up, in which case your paying for it yourself.
Just be thankful you still have a car. Some piece of shit stole my acura last year, gutted it, and dumped the detroyed outer shell in a residential nieghborhood an hour south or where I live. But cops found my engine in another car a few months later so I got that back.