This isn't quite accurate, at least in Pennsylvania. Traditionally, you show up at the polling location, and are asked to sign your name in the poll book, which has a copy of the signature you provided when you registered. The poll worker compares the signatures; if they look the same (e.g., similar enough), you're good to go. No need to rummage out driver's license (if you have one). This has worked for literally generations.
Recently, Republicans have argued: 1) that there's massive fraud - which they are utterly unable to document; 2) that everybody should have to show a photo ID to vote, each time.
The bugaboo is that not everybody has a photo ID, and the people who don't are predominantly lower income, urban folks who don't have driver's licenses, and for whom obtaining an alternative state ID would be onerous (driver's license centers are not convenient to urban people without cars; mass transit doesn't get you there easily; etc.). "Coincidentally," these people tend to vote Democratic.
The punch line here? Jazzhead knows this; he's not some stupid rube. He very carefully avoids mentioning the disparate impact that "ID to vote" laws have on urban and minority voters...because he doesn't want those people to vote, whether he'll acknowledge that or not.
It's all part of the same game that makes it easy for me to vote (I live close to my polling place; there have been "long" lines at that polling place exactly one time in the past 25 years - in 2020, when new procedures were adopted). Typically, I can walk over, say hi to the poll worker, maybe stand in a line of three or four people, sign my name, and cast my vote.
But in urban or minority areas where the voting authority (typically county boards of election) is Republican? Polling place are limited; people have to wait in hours-long lines - routinely! This is not an accident; this is policy, just as demanding ID cards that are hard for some voters to get is policy.
Yeah, they'll describe it as if it's easy ("I, therefore, for exmple, have no objection to the simple and reasonable requirement to produce an ID in order to vote."). But they design the actual process so that it's not easy - not easy for the people they really don't want voting. Don't be fooled by the glib words.