Cars already have unique identifiers. There's the VIN, which applies to the car in perpetuity, and the registration plate, which is unique and attached to the VIN. This lives in a database which is secured from fraud by means of firewalls and other old school IT practises.
How does putting a VIN into the CPU (there is a unique identifier already there, and many components need to be bound to it in order to function properly), and storing the data on a publicly audited blockchain make any improvement on this? Does your car function as a node in the chain, and you need a private key to start your car? I pity the poor AA mechanic.