Re: Try China or Russia
Yes, ludicrous that politicians should appoint judges, especially the head of state.
In the UK, this is the process for appointment of senior judges:
https://www.supremecourt.uk/about/appointments-of-justices.html
The selection commission must have at least five members. Where a selection commission is convened for the appointment of a Justice other than the President of the UKSC, it must consist of:
the President of the UKSC, who will be the chair of the selection commission;
a senior UK judge (who is not a UKSC Justice) nominated by the President of the UKSC;
a member of the Judicial Appointments Commission;
a member of the Judicial Appointments Board for Scotland; and
a member of the Northern Ireland Judicial Appointments Commission.
Note how these do not include any politicians, does not include the Crown, the Prime Minister, the Home Secretary (the minister in charge of the Ministry of Justice), or any other publicly elected official. It is done by members of the judiciary, who have proven themselves to be impartial.
Most countries, rightly, see the system in the US, of elected or politically appointed judiciary, as corrupt and unworkable. Electing senior police (such as sheriffs) is also pretty brain-dead, as it leads to populist appointees, and although we have elected police and crime commissioners in the UK, they have no role in operational policing (and arguably are pretty useless).
Asserting that your way is the correct way, and that other systems don't exist, or are "ludicrous" only exposes your own ignorance, and inability to use your search engine of choice.