He's not wrong. Democrats don't want white, elderly evangelicals voting either. Ideally we'd live in a world where race didn't have such strong correlation with voting patterns, but as long as we do neither party is going to want any demographic that strongly opposes their platform to vote.
That doesn't mean I support restrictive voter ID laws, though.
I don't know many Democrats who don't want people voting even if they do not vote for Democrats. Democrats have not based voter ID laws or draw districts maps that specifically dilute the votes of white evangelicals.