I think there are some problems when you bring in the "Why don't you ask every other country?" argument. For one, not every country has the same protections that the U.S. carries in the Bill of Rights. This is why you can't, for example, use this defense when it comes to banning intolerant speech even though it may be done elsewhere.
I think the generous interpretation is this law feels like a "show me your papers" statute which the United States generally has a philosophical angle against. It would be comparable in some people's eyes to a "Show me your vaccine card" enforced by the State. Pragmatically, the ID law may also create de facto racial profiling. Although I think the opposite side of this feels the issue is more about State vs. Federal immigration enforcement than really striking down the "show me your papers" provision.
What I am saying is that presenting the argument as a clear-cut case of $PARTY wants to limit voter participation from certain demographics is disingenuous - it is NOT clear-cut at all because more countries require voter registration than not.
So no one should be attacking labeling a proponent of this law as a Nazi just because they support it - the majority of the world's voting democracies can't be Nazis, now can they?
Why don't you ask every other country why they do such a thing? Seriously, if the issue was as clear-cut as you make it out to be ("Those peoples are just trying to suppress the votes of their opponents") then the US would not be one of the few places in the world where this is controversial.
It's not controversial in some of the largest democracies in the world, and yet you want us to believe that you really think that it is controversial?