Most people (as far as I know) don't have a direct issue with voter ID laws inherently. The issue comes down to the fact that most implementations have been surgically targeted to affect certain racial groups [0], combined with the fact that widespread voter fraud has not been demonstrated to be a problem.

[0] https://en.wikipedia.org/wiki/Voter_ID_laws_in_the_United_St... A North Carolina law was overturned as "its provisions deliberately target African-Americans with almost surgical precision … in an effort to depress black turnout at the polls."