//Thanks both. Harry1010 - so they can get a magistrate court hearing within 24 hours (after which I am free to go)? Assuming they can, do defendants get the names of the magistrates committing injustice against me? I would need to remind the magistrates of the meaning of 'doxing' (which is still legal!). Can I get a custodial sentence for contempt of court? How about for contempt for the British Injustice System?//
You're not training to become a "Freeman on the Land", by any chance are you?
https://en.wikipedia.org/wiki/Freeman_on_the_land
To answer your question about being taken to the Magistrates' Court, if the police cannot establish who you are, suspect you of an offence and subsequently charge you (and the easiest one is "Obstruct PC") they can refuse you bail. This means that you will have to be brought before a court as soon as possible and in any case within 48 hours. Magistrates' Courts sit six days a week, though the Saturday sittings are solely for "remand" cases such as I describe here. They finish as soon as all their matters are heard, often by noon. So, if you are arrested before about 3pm Mon-Fri you will be in a cell overnight and in custody most of the following day and if it was after the court has finished on Saturday you will be in until Monday morning. If you simply refuse to co-operate the police may well manipulate your detention so as to ensure you spend as much time as their guests as possible.
Depending on how long you have been inside the court may well decide that time you have spent under lock and key may be sufficient punishment. It is unlikely they will get involved in "contempt" proceedings unless you are suspected of a serious crime and you hinder its investigation. Whilst you are detained you will have your fingerprints, photograph and a DNA sample taken.
No, you don't get to learn the names of the Magistrates. If you want to take action because of your arrest that will firstly have to be towards the police for your arrest, which you will have to prove was unlawful. If you believe the judiciary (i.e. the Magistrates) have treated you incorrectly you will have to take action firstly against the Clerk to the Justices in the area where the court that dealt with you is. If you attempted to undertake your "doxing" exercise (presumably to identify the individual Magistrates) firstly you'd be very unlikely to succeed, however tech savvy you are and secondly whether you believe it's legal or not you would almost certainly find yourself back in court.
So the question you really need to ask yourself is would you put yourself through what would undoubtedly be quite a troublesome time simply to avoid providing your details?