So they're recognized in the same way as, say, a Jewish court would be, or in fact essentially any body would be?

No, they're not.

https://fullfact.org/law/uks-sharia-courts/

> While feuding couples have to at least consider mediation before going to court, it doesn't override family law. A court has to sign off on any agreement made after divorce for it to be legally binding, and won't do so if the judge thinks it's unfair.

> In 2013, the High Court was asked by an Orthodox Jewish couple to accept the ruling of a Jewish religious court on post-divorce family arrangements. The judge said that while the agreement would carry weight, it would be non-binding—neither party could get around English law by agreeing to abide by the decision of another tribunal.

[Citation Needed]

This (certainly as far as I'm aware) isn't true. The laws and courts of England and Wales apply in England and Wales, and the relevant local laws and courts (e.g. Scottish laws in Scotland etc) apply elsewhere in the UK.

In terms of Sharia, there is a voluntary arbitration system for civil issues as an alternative to the civil courts, the same as the Beth Din Jewish courts voluntarily used for Jewish civil issues in the UK.

> https://en.wikipedia.org/wiki/No-go_area#Contemporary_no-go_...

From your link:

     Local police forces denied the claims [of no-
     go areas]

     Katie Hopkins could not name areas of Britain
     that were no-go areas because it would not be
     "legally accurate"

     British Prime Minister David Cameron described
     Steven Emerson as "clearly a complete idiot".

'Reportedly' being the operative word. And the reporting in question coming from (to be very charitable) slightly less than reliable sources. I get what you mean, it just doesn't seem to be reflected in actuality, and you have to be really careful here: those that support what you're saying are in large part from the far right of the political spectrum, often the extreme far right (eg Tommy Robinson), and figures they pull out are utterly suspect.