From an important Tierney Sneed piece:

Yet, a study published in June by Persily — along with Charles Stewart III and Stephen Ansolabehere — undercut that justification. They found no evidence that voters in states with strict voter ID laws had greater levels of confidence in elections than those in states without them. But Persily worries even if voter ID laws aren’t increasing confidence elections, Trump’s comments are making Americans less trusting of democratic institutions.

“Part of the point here, and this is why the new Donald Trump allegations are critical, is that people lose faith in the democracy when they are on the losing end. So they are more likely to think that their vote was not counted, or there has been voter fraud if their candidate loses,” Persily said. The irony is that voter ID — which Trump uses to exacerbate his supporters’ fears — erects burdens that make it harder for Americans, particularly minorities and lower-income people, to vote.

“You have this perverse cycle here, you are … casting [the electoral system] in a bad light of disrepute, and in the process, by creating these anti-system views, you are now justifying more restrictive measures that might keep people from voting,” Persily said. “And let’s not be a coy about, what does it mean for the people who are unable to vote because of these laws? How do they feel about democracy?”