https://www.npr.org/2012/02/01/146204308/why-millions-of-ame...
The solution is easy: require access to state ID to be free, and reverse budget cuts which mean that in some areas of the country you might need to drive for hours to get to a DMV or produce things like utility bills which not everyone has.
I will believe anyone talking about voter ID has a goal other than suppressing opposition votes when their bill includes a robust implementation of any of this.
It’s also worth remembering that the “cheating going on” is largely an urban legend. Every credible study has found it to be exceedingly rare, nowhere near the level of affecting election results.