You would ahve to go back to the bad old days of the star chamber to find the UK law system doing anything as doddgy as Al Capone (not exactly the USAs Legal systems finest hour)
In the UK, the term "government" refers to the executive branch. Outside that use, it encompasses the legislative, executive and judiciary power of a state. Wikipedia gives the following definition:
Government consists of the legislators, administrators, and arbitrators in the administrative bureaucracy who control a state at a given time, and the system by which they are organized.
Judges are part of that by definition, even if there's some separation from the other components.
The term "government" has multiple meanings, but the most direct and common meaning is for the entire apparatus of state power, literally "the instrument which governs". This is true in all places that speak English, the United Kingdom included.
In the United States, we use the term "administration" to refer to an executive, his cabinet, and other associated officials. However, we still recognize the (not-so-subtle) distinction between the administration and the government as a whole; our government, as yours, is divided into three separate branches, and then again into many departments, agencies, committees, circuits, districts, and other subdivisions thereof.
I suppose you mean Silicon Valley, but I live on the East Coast (~3000 miles away). Also, our "tripartite separation" is based on yours, with the President taking the place of the Monarch/Prime Minister, the Congress taking the place of Parliament, and the Judiciary being roughly the same (we even use the same style of law, called common law, whereas most non-English-speaking countries use civil law).
The UK seems to have more crossover between legislative and executive functions, but the separation does exist, more or less. Parliament makes the laws. Various ministers execute the laws. The courts interpret the laws.
In the UK, the term "government" refers to the executive branch. Outside that use, it encompasses the legislative, executive and judiciary power of a state. Wikipedia gives the following definition:
Government consists of the legislators, administrators, and arbitrators in the administrative bureaucracy who control a state at a given time, and the system by which they are organized.
Judges are part of that by definition, even if there's some separation from the other components.