The disclosures come after Rowan Williams, the Archbishop of Canterbury, sparked a national debate and calls for his resignation for saying that the establishment of sharia in the future "seems unavoidable" in Britain. In July, Lord Phillips of Worth Matravers, the Lord Chief Justice agreed that Muslims in Britain should be able to live according to Islamic law to decide financial and marital disputes.
Mr Siddiqi said he expected the courts to handle a greater number of "smaller" criminal cases in coming years as more Muslim clients approach them. Two more courts are being planned for Glasgow and Edinburgh.
There are concerns for women suffering under the Islamic laws, which favours men.
Mr Siddiqi said that in a recent inheritance dispute handled by the court in Nuneaton, the estate of a Midlands man was divided between three daughters and two sons. The judges on the panel gave the sons twice as much as the daughters, in accordance with sharia. Had the family gone to a normal British court, the daughters would have got equal amounts.
In the six cases of domestic violence, Mr Siddiqi said the judges ordered the husbands to take anger management classes and mentoring from community elders. There was no further punishment. In each case, the women subsequently withdrew the complaints they had lodged with the police and the police stopped their investigations.