They do not have two sets of law here for muslims and non muslims, by the way. They make a provision under their law to accomodate non-muslims, but it doesn't make it a different law.

Now what they're doing in the UK is having two sets of law in the same country. Yes, it is only arbitration, but it still is two sets of law. Mediation and arbitration courts all over the world (where they exist, obviously) still are bound by the country's own law, and not a different set of laws altogether.