Have they said if they are going to go out searching streets or just monitor ANPR? I'm curious how motivated they are with these calls.
With regards to to what the police do, it can be very limited.
Officer numbers are incredibly low and it is unlikely that swarms of officers would be out looking for the car as forces can be carrying hundreds of live calls for service at anyone time.
In this type of event the thieves know what they are doing. They will be wearing gloves, so no fingerprints, hooded up so if in the event someone may have CCTV they won't be seen.
A false number plate will be on the car in a matter of minutes, so it won't be picked up on ANPR cameras.
It is unlikely in these incidents to ever catch who is responsible.
The car is probably stolen to order and will end up in a chop shop and stripped within a day or shipped off abroad in containers.
The main thing is the original poster is safe.
Ultimately the last thing these thieves want is to be caught.
Home security is of importance CCTV, lighting, steering locks to act as a deterrent to make it to risky to do.
However, if ever faced with this situation simply hand the cars over and do not chase. Your life is more important than a car.