Why do you need voter ID?
If I go to the polling station in the UK, I could bring along an ID, a passport, a birth-certificate, a drivers-license and 6ft-tall-portrait of myself in oils and I still wouldn’t be able to fraudulently vote because if my name wasn’t on their list, they wouldn’t give me a ballot a paper. They don’t ask for any sort of identification because they have no need to.
Tell me what is to stop someone else from claiming to you and voting in your place?
Nothing… but then when I went to vote soon after, the polling station would know somebody had voted fraudulently instantaneously (because my name would already be crossed off the list they had at the polling station). If it happened more than once they could conceivably re-run the election but nobody bothers because the fraud would be so obvious to everybody. Nobody would be able to swing an election by pretending to be other people.
What would stop you from voting with your own vote and going to another polling place and claim to be someone else and vote twice?
I wouldn’t be on the list at another polling station, so it wouldn’t be possible to vote twice.