Regardless of what some people in Harlem think, data shows that minorities are in fact much less likely to have government ID.
https://www.brennancenter.org/sites/default/files/legacy/d/d...
The study you provided was a phone survey of less than 1,000 people that occurred 15 years ago. It along with other studies showing similar results were debunked by researchers at Stanford, Yale, and the University of Pennsylvania.
[1] https://www.aclu.org/other/oppose-voter-id-legislation-fact-...
The first reference on your link is the exact link to the exact study the other commenter provided.
The second reference on your link itself uses as a reference the exact link to the exact study the other commenter provided.
The phone survey of less than a 1,000 people is still a perfectly valid piece of evidence. The methodology wasn't obviously flawed and the delta was so large that the sample size was more than enough.
Here's another survey from 2012 that shows a similar number.
http://www.projectvote.org/wp-content/uploads/2015/06/AMERIC...
Sure as your comment paper points out, you can't use nation wide data to prove state level causation, but there's still good evidence that minorities are much less likely to have government ID.
It's not a shocking result either. We know that not having ID correlates with low income, and minority status also correlates with low income (on average, sure there are some minorities that actually have higher income).