I can't speak for the US. In Britain you don't really
need photo id for much. A driving licence, if you drive (plenty don't), a passport if you want to go abroad, or something if you're young (or look young) and want to drink alcohol. I don't think I need mine more than once a year or so. So there's no particular problem being solved there, either.
Now, there was a big drive to set up a compulsory photo ID here under the Blair government. The purpose was really to generate a single central government identity database rather than to help those without ID to lead easier lives, though. It sank years of political debate and a stack of money and was eventually cancelled after public protest. I don't think anyone's going to try again.
I do understand the importance of perception. But when the reality is that personation is essentially a non-problem and one political party is pushing a narrative that it is in order to change the rules to their electoral advantage, I'm not convinced that the best democratic solution is to let them do it. It's interesting that over here there has never been widespread public (as opposed to confected elite) concern about personation, but we did have some public discomfort (with somewhat more foundation) about extensions to postal voting in the 00s. That wasn't really treated as a partisan issue and some of the potential issues were dealt with with follow-up legislation.