[Lurking Libertarian]

This is a voluntary system of arbitration, which applies only if both parties agree. It would be equally enforceable under U.S. law. For decades, Orthodox Jews have voluntarilly been submitting disputes to Rabbinic courts rather than litigating in the secular court system, and the decisions of those Rabbinic courts have been held to be enforceable under the Uniform Arbitration Act. This is (legally) indistinguishable.

[Washington1980]

Do not give the devil an inch. Canada, Canada you don't know what you are doing.

[Oatka]

This is a voluntary system of arbitration, which applies only if both parties agree.

What about "peer" pressure?

From the article: "Although advocates of the sharia process stressed that participation in the tribunal process would be voluntary, some critics expressed concern that many Muslims would be labeled disobedient if they refused participation in such sharia-based arbitrations.

"If I am a woman of faith, and the community of people who see themselves as leaders say that if I do not follow the sharia court here, the Islamic Institute, then I will be tantamount to blasphemy and apostasy," Hogben said in a debate shown on Canadian television. "And you know that in some countries, apostasy means death sentence."

[monkeywrench]

Look at the sudans 20 year civil war over sharia law. Look at Nigeria.

"safe to assume that a Muslim, living under a Christian legal system, would have less to fear than a Christian under Sharia. The experience in other countries, e.g. Sudan, has shown that, more likely than not, Sharia would also be applied to non-Muslims; the current formula, as put forth by the Niger State administration, of a dual legal system (Sharia or statutory law) may be called into doubt." http://www.internews.org/rmsmedia/sharia/sharia.html

[Lurking Libertarian]

Court decisions enforcing decisions of Jewish religious tribunals are listed here.

[Arpege92]

"For decades, Orthodox Jews have voluntarilly been submitting disputes to Rabbinic courts rather than litigating in the secular court system."

Yes but these Orthodox Jews aren't part of an organization that is causing destruction and death all over this world.