Very funny Dunk, you're car has just been added to the 10 Most wanted in UK
Like Dunk said, the police's system of car control is based on the book "RoadCraft - The Essential Police Drivers Handbook" which is available to buy and is a good read.
I also believe the IAM (Institute of Advanced Motorists) use the same system as passing my standard driving test allowed me become a member without going for a check drive with them.
In a nutshell, it works on a system of car control
You take information, Use information and give information to identify your hazards. Once identified you adjust your position, speed get your gear and then use your accelerator to maintain your speed and stability through the hazard.
When you start with this system is seems a bit alien, but once you have mastered it, it helps you deal with more hazards, faster and at higher speeds ,which means your overall drive is going to be safer, which is the main aim.
You have probably seen on police programs where they do the commentary whilst driving. This enables the driver to talk through exactly what they are thinking about, in relation to hazards. I found this video which enables you to see the sort of hazards we look for (starts about 2:30), but the follow on would be to say exactly what you are doing with the car controls
http://youtube.com/watch?v=mC3C-d8LlGY
Once this is mastered, you can then slowly build the speeds up and start to make more progress, by overtaking, reading bends and overall provide a smoother faster and safer drive. Just because the police, fire and ambulance have an exemption to the speed limits for a police purpose, it doesn't mean we are exempt from prosecution if it all goes wrong.
The driving courses are split. When you join the police, you complete your probationary period and then do a standard driving course. This is about 3/4 weeks and will allow you to drive a standard response car on blues/twos. THings like the Ford Focus's, Mondeo 1.8 area cars and vans.
If you join a specialist department, like i did 2 years ago (Armed Response & Traffic) then you go on an advanced driving course, which is 4 weeks and allows you to drive any vehicle including plain cars. I mainly use the Ford ST220's and Volvo V70 T5's.
Once completed this course, there is another week on the TPAC course (Tactical Pursuit and Containment) which includes the stinger device aswell.
There are so many other topics we cover on the driving courses; red-mist, driver behaviour, fatigue, road reading, skidding, etc
If you wish to do some form of advanced driving its worth looking into IAM or ROSPA and you also get discount off insurance with some insurance companies too.