At no point during that process is there presentation of proof of citizenship.
Source: actually ran a fucking election precinct. Non-citizens aren’t casting ballots illegally.
Also just generally it's a severe federal crime to vote illegally, so people who are here illegally aren't out en masse publicly tying their identity to federal felonies.
There's not been a reliable audit to show the extent to which this happens (probably not enough to affect even local elections), but to say that it isn't happening is just a lie.
In states that bother, millions have been removed from voter rolls who weren't eligible in recent years, but the DOJ hasn't done anything with the data either.
As for the removal of millions from various voter rolls, you'll have to be more specific; most of these are administrative tasks being performed as they are meant to be performed, and very few of the millions removed are non-citizens. Most are removed because they've died, or moved, or failed to respond to inquiries, etc. Oregon, for example, recently moved to remove 800,000 voters from their rolls, but again, this was an administrative move; the voters were already marked as inactive and inactive voters in Oregon do not receive ballots. Removing them wasn't a priority, but now it is, so they're doing it. The point is that millions being removed is not really a cause for alarm or a sign of fraud; it's just a sign that you're unaware of how the system works.
He should go to jail and yet his existence is not proof that there are hoards of African deportees voting in state and federal elections.
What they say is that it does not happen enough to plausibly come close to affecting the outcome. And this is widely supported, including by right-wing organizations (as a sibling comment observes).
As with most issues, there is a trade-off here. As you tighten controls to prevent improper voting, you prevent some people from realistically being able to vote (it's just too hard, time consuming or expensive for them to meet the documentation requirements), and discourage others. This is particularly bad for the 1-2 elections after the rule change, which most people won't know about until they show up to vote. IMO, this is really the point of the changes.
And you have to weigh that negative against the supposed benefit. But that benefit is really hard to find. It's very clear that intentional voter fraud (fraud in registration, or in-person impersonation) is extremely rare, and does not come anywhere close to affecting outcomes. It's already a crime, and we seem to be pretty good at catching it.
The other argument for a benefit is that it improves voter confidence in elections. I reject this, since the only reason the public at large has any real concerns is because of intentional misinformation by the right. You can't lie to people to convince them there is a problem, and then use that to justify your heavy handed solution.
> Source: actually ran a fucking election precinct. Non-citizens aren’t casting ballots illegally.
So, you can see people are actually claiming that it doesn't happen. Further,
> It's already a crime, and we seem to be pretty good at catching it.
How can we be good at catching it if it is too hard for our own citizens to actually get proof that they are citizens? We hear about the cases that happen, but we don't hear about the people go go undetected, because they go undetected.
At that last part, Election Day identification, is not even that important, since the same person can't vote twice. So if you impersonate another person that will be quickly detected. It's not a useful strategy to alter the outcome of an election.