The United Kingdom last had compulsory national identity cards during the Second World War when they were introduced for security purposes. They were introduced under the the National Registration Act 1939, but were abandoned seven years after the end of that war, in 1952, amid widespread public resentment.
Labour made an attempt to reintroduce ID cards but the incoming Tory government repealed the legislation.
Any further attempts to introduce compulsion will e met with the same resistance.
As "The Prisoner said":
I will not make any deals with you. I will not be pushed, filed, stamped, indexed, briefed, debriefed or numbered. My life is my own.