The US and the UK are different in one other aspect compared to most Continental countries, more exactly in the fact that they had had a "democratic" and fair judicial system for at least the last 200 years, so there's plenty of cases from which to create "fair" precedents.
For comparison, my country (in Eastern Europe) has been a Communist dictatorship for 50 years, and it would be a little strange to judge a present complaint based on cases judged in the past by communist-controlled judges. The same goes for countries like Italy (which had Mussolini and the fascists rule them for 20+ years), Germany (the Nazis), Spain (Franco), Portugal (Salazar) and so on.
Plus, in this discussion I'm more on Thomas Paine's side against Burke's, the past has no intrinsic "value" stored in itself, the common law comes from the "dark ages". I know Napoleon is still pretty much hated in the Anglo-Saxon world, but in imposing his judicial code he was on the more enlightened side of things.