Between 2003 and 2006, there was a pretty vigorous debate in Ontario, about allowing Shariah alongside Ontario's Arbitration Act. In fact, Ontario had been permitting Catholic and Jewish tribunals to arbitrate family disputes according to their religious precepts.
I admit I was adamantly opposed to this, even though a fomer Ontario Attorney General had written a report, after being asked to examine how the Arbitration Act was performing, which recommended permitting Shariah law in those arbitrations, alongside the Jewish and Catholic ones. And as it turned out, Ontario's population were also hugely opposed, largely because they saw that women were not treated fairly by Shariah. Their testimony was undervalued compared to a man's. Censure was much more harsh against women than against men.
Homa Arjomand, an Iranian who organised International Campaign Against Sharia Court in Canada, argued that the recommendations would push back Canadian law by 1,400 years. "Our lawyers are studying the decisions of several arbitration cases and will bring them to court and expose how women are victimised by male-dominated legal decisions based on 6th-century religion and traditions."
The debate ended, finally, with Ontario's then-Premier Dalton McGuinty, not only disallowing Shariah to be used thus, but also banning the Catholic and Jewish tribunals.
And I think that was a good result.