I think you have diverged too much...well from reality, in order to try to prove a point. Do you think most people, or lawyers, or judges in the UK spend their time trying to enumerate all the laws of the land before they proceed in their court cases? Do you think that people think that the UK system of government is illegitimate? What point are you trying to make? Because it is not grounded in reality. You can debate the merits of a codified constitution versus an uncodified one, but the UK does have a constitution, the vast majority of which is codified into many documents. The following two links might help you:

https://en.wikipedia.org/wiki/Uncodified_constitution

https://en.wikipedia.org/wiki/Convention_(political_norm)#Un...

Note the second one applies to the US - a country with a mostly but not completely codified constitution.