Do voter identification laws suppress minority voting? Yes.

 https://www.washingtonpost.com/news/monkey-cage/wp/2017/02/15/do-voter-identification-laws-suppress-minority-voting-yes-we-did-the-research/

There is, of course, widespread debate about the merits of these new laws. Proponents claim that ID laws are necessary to reduce fraud and to restore trust in the democratic system. Critics claim that voter ID laws serve as effective barriers that limit the legitimate participation of racial and ethnic minorities and other disadvantaged groups.

Who is right? 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?

These laws have a disproportionate effect on minorities, which is exactly what you would expect given that members of racial and ethnic minorities are less apt to have valid photo ID.