Everybody should have some form of ID. In most cases in the US that would be a driving license or state ID. You can't even open a bank account or cash a cheque in the US without ID or indeed perform a host of other basic functions in a modern society.
I'm upper-middle class, and I haven't had to do either of the above in well over a decade -0 and I've never had to show an ID myself to open an account (I had one before I turned 18, with my mother as cosigner - went without a Driver's License or State ID for years as a college student)
And over the years, I'd say an outright majority of younger people in my neighborhood did the same. Check? Nah, they'd get cash payments. Driver's license? Nope, took public transportation.
Lots of long-retired people did this as well - even if they did drink, there wasn't a person on earth who would mistake most of them for some teenager.
Mind you, the people without ID are most likely to vote Democratic which is why the Democrats are so outraged on their behalf. If they were more likely to vote Republican, the positions of the two parties would be exactly reversed.
I have heard of exactly one case, in a small town, in GWB's presidency, of democrats target white-majority areas for voter suppression efforts, ever, despite the fact that white people have trended towards the GOP for my entire life. Seemed to have more to do with local elected officials keeping their power than anything else, and the Bush DoJ went after them using the Voting Rights Act of 1965 (as they should have)
Statewide efforts where republicans target black, Native, and Hispanic voters in particular for disenfranchisement, using shaky or illegal voter roll purges (see: True the Vote), misinformation (belligerent mailers and poll watchers), polling site closings (happened immediately after the Roberts court's wrongly-decided Shelby decision), closing ID sites in minority regions (Alabama, again right after the Roberts court gutted the CRA), gerrymandering (North Carolina rushed to do this one), and so forth, are a dime a dozen, on the other hand.
Because of this, I find your claim...questionable. It seems to have more to do with keeping nonwhite people as second-class citizens, which we've seen from at least one of the two significant political parties since the GOP became a significant political party, as it has to do with any interest in merely winning elections as an end in and of itself.