Everybody knows voter ID laws are intended to make voting more of a hassle, and disproportionately drive down voter participation in disadvantaged communities and among young people, aka voters not likely to vote GOP. The fact that no one ever complains about absentee voters and mail in voters not having to show ID when they mail their ballots also belies the claim that this is simply about integrity and fairness.
You want to know how you can get Democrats to support voter IDs?
Make voting easier, hassle free, and more universal.
Make election day a national holiday so people do not have to juggle their schedule or choose between work and voting.
Making early voting more widely available.
Make more polling places available in every precinct. There should never be lines around the block.
Automatically register people to vote when the renew driver's liscences, renew motor vehicle registration, etc.
If you are going to require IDs, make it easy and fair. Don't fucking play games about which IDs are acceptable.
Get rid of the archaic and undemocratic electoral college and make the people's votes actually represent the people's will. Rural states already have vastly disproportionate representation in the US Senate.