In 2008, while arguing for the need to formally introduce Sharia law into the law of the United Kingdom, the Archbishop of Canterbury claimed Sharia law was "inevitable" in the UK . He denied it was an "alien" system and called for "constructive accommodation" of Muslim law. He did this in a calculated and provocative manner, while denying a place for its more "extreme punishments."
It is unlikely that many members of the Muslim community would be satisfied with an Anglican primate determining the limitations of the Quran and Sharia law.
This argument was rapidly followed by the Lord Chief Justice: Lord Phillips helpfully said there was a place for Sharia law, particularly in mediation. He lamented the "widespread misunderstanding" of Sharia law. The newly established Muslim Arbitration Tribunals immediately put a picture of the Lord Chief Justice on their website in appreciation of his endorsement.