Yes, it seems like it would make sense for the Democratic party to sponsor efforts to get more voter ID's for more potential voters in states where such laws ex

Yes, it seems like it would make sense for the Democratic party to sponsor efforts to get more voter ID's for more potential voters in states where such laws exist or are likely to exist. No, I'm not really aware of any major efforts concentrated on helping people get appropriate ID. Voter registration drives are common, but the ones I've noticed put the emphasis on registering otherwise eligible voters rather than increasing the pool of eligible voters. I wonder how cost effective a "free driver's license" charity would be at creating eligible voters. It wouldn't even have to be directly supported by a political party, but by targeting a particular demographic it would likely be quite effective in creating new voters of a particular type. And unlike straight voter registration drives, getting a driver's license gives other direct benefits to the recipient.