Cool, so no one in the UK dies because of drunk drivers..
There are around 3000 deaths a year. A lot higher than our gun death body count. We need to work on that to bring it down to the gun death level.
There are certainly licensing lessons that could be taken on board.
But you said that driving drunk is illegal, so there can't be anyone doing it....
England has a LONG history of disarmed peasants. The culture is to strip the lower castes of basic rights such as those of self-defense.
America was not founded on the feudal model, which still is the foundation of Europe (and the UK to a lesser extent.) We are a nation of free men, and free men have the right to arms, just as your nobility does.