Do voter identification laws suppress minority voting? Yes. We did the research.

Scholars have been able to show that racial and ethnic minorities have less access to photo IDs, and extensive analysis reveals almost no evidence of voter fraud of the type ostensibly prevented by these laws. But determining just how many Americans are prevented from actually voting is another question altogether. The key question is not whether there could be worrisome effects from these laws, but whether clear-cut shifts in electoral participation and outcomes have actually occurred. Do voter identification laws skew the electorate in favor of one set of interests over others?
Because these laws are so new, it has been almost impossible to assess their consequences. Most of the existing studies have looked at the effects of not-so-strict ID laws or have assessed the consequences of strict ID laws in only one state or one election. The results have been mixed.
In our new study we are able to offer a more definitive assessment for several reasons.
First and most important, we have data from the nation’s most recent elections (2006-2014) and can single out and test the effect of the strict voter ID laws in multiple elections and multiple states. (We define states with “strict voter ID laws” as states where residents cannot vote without presenting valid identification during or after the voting process.)
Second, we have validated voting data so we know whether each of our respondents actually voted. Third, we have a huge sample — over a third of a million Americans from the Cooperative Congressional Election Study — which means that we can analyze the participation of racial and ethnic minorities in all states both before and after strict ID laws are implemented.
When we compare overall turnout in states with strict ID laws to turnout in states without these laws, we find no significant difference. That pattern matches with most existing studies. But when we dig deeper and look specifically at racial and ethnic minority turnout, we see a significant drop in minority participation when and where these laws are implemented.
Hispanics are affected the most: Turnout is 7.1 percentage points lower in general elections and 5.3 points lower in primaries in strict ID states than it is in other states. Strict ID laws mean lower African American, Asian American and multiracial American turnout as well. White turnout is largely unaffected.