I was visited by Jehovah's Witnesses yesterday. An intelligent couple it was fun to talk to. The discussion got on to the election (I had said, facetiously, when I opened the door, that I had been hoping it was canvassers so I could enjoy telling them why I wasn't going to vote for them), and they told me they don't vote as they only do what God says. OK, sez I, but you're still part of the community, aren't you? You have a say in how it's run and, in my view, a moral obligation to support the community by exercising it. I thought they should vote, and said so. My right to tell them what I think - after all, they rang my doorbell.
It works the other way round, too. If people have weird and wonderful (to me) beliefs which are "worthy of respect in a democratic society" - that is, not pernicious or illegal - then they can sort out their affairs as they wish within the law. It's not my job to police the views of Muslims, JWs, Christians, Sikhs, and so on. Nor is it the job of Society As A Whole (that elusive entity which you can never find when you look for it). We have a system of arbitration. There is an Act of Parliament about it, and it's part of UK law. Arbitration has to be agreed, and is not valid if agreement is coerced. These religious courts practise arbitration within the law of the land.
If religious courts aren't doing this properly, then the issue is to improve them, not abolish them.