The crime that "illegal aliens" are guilty of is an administrative violation... That's why they're called, "undocumented". It's an administrative offense. Usually they enter the country legally then overstay their visa. There's not even an implied threat or danger there... They're just people.
Driving a vehicle without a license is an imminent danger for everyone. Not just a threat to life and liberty but a rather large economic threat. Without a license there's no guarantee that the individual went through any training whatsoever nor will they have any insurance. Even if they're a victim of something like a drunk driver they can't get justice since the unlicensed driver will be at fault (in addition to the drunk).
The "national security threat" mentioned in the article is bullshit. These people need to provide some proof of residency in order to obtain the license. It's not like they're just saying, "I'm Joe Blow" and walking out with a government ID.
Not only that but the licenses in question clearly state that they were obtained without proof of citizenship. So it's not like any law enforcement will ever get confused about their status.