Some years ago I had the experience of living under the Saudi implementation of shariah - it was a very different experience. Not to sound dramatic, but it was a fearful experience. One false move and one became very aware of the antiquity of shariah. It is a remnant of a type of barbaric law of previous millennia.
Whilst the Judeo-Christian based legal systems are older, they are not quite as unforgiving as shariah, and they promote ‘one law for all’ whereas shariah does not.