I wouldn't strip it, yet.
I would get together a file of all the reciepts you have ever had for it. If you have done work on it yourself, call around a get estimates what the labor is worth. Make a list of everything that makes you car worth more than the average. Search around to get some comparable add prices from ebay, buyandsell, autotrader etc. Factor in what the PITA value of finding a replacement is worth (if you spent 3 months looking for this one, tell them that). Expect them to start with a lowball '86 Golf are only worth $500' offer. Also expect them to want you to pay the deductable, which you should not have to do with witnesses to the hit and run.
Be pleasant but stand your ground. Don't threaten to sue the insurance company, they get that all the time. Ask instead what it will take to get a resolution so that both you and the adjuster can put this behind you (they want it off their case load and you can always threaten later).
Don't sign over the car to them until you have a settlement. Don't strip it after they have appraised it without their permission, they will be pissed and may charge you with fraud.
If they say its going to be fixable, dont let on that you will take the cash equivalent of the damage until after they have told you what the repair bill is.
Glad your OK, lets hope the wanker is spending the night entertaining big ugly thugs down at the lockup.