The principle issue is and only has been that only American Citizens can and should vote. If a person cares so little about their constitutional rights not to notify the electoral office or state secretary of state as to address change then what does that say about that person.
Fact even the supreme court in a 6-3 decision, several years ago declared voter identification not to be a burden and adopted, regardless, states, lower courts, and liberals fight this issue to no end, this would be a non issue if national voter identification cards were required. So why is it that liberals reject voter ID's?