The claim is mostly true because multiple reliable sources confirm that Democrat-led states like New York and California issue driver’s licenses to undocumented immigrants, sometimes under privacy protections that obscure personal details, while Republican-led states such as Oklahoma have conducted enforcement actions apprehending illegal immigrants carrying such licenses, including reports of over 125 arrests.
Democrat-run states like New York and California are issuing commercial driver’s licenses to illegal immigrants under “no name given,” while Republican states such as Oklahoma report already apprehending more than 125 illegals carrying these IDs.

Some GOP states are targeting driver’s licenses issued to immigrants illegally in the US - Courthouse News Service
Source: courthousenews.com
Key Evidence
California and New York issue driver’s licenses to undocumented immigrants with some privacy protections.
newsweek.comnewsweek.comMap Shows States Where Illegal Immigrants Can Get Driving Licenses
ncsl.orgncsl.orgStates Offering Driver’s Licenses to Immigrants
Oklahoma law enforcement arrested over 125 illegal immigrants carrying such IDs during a targeted operation.
ocpathink.orgocpathink.org‘No Name Given’: Oklahoma nabs 125 illegal-immigrant drivers
GOP states generally oppose issuing licenses to undocumented immigrants and have enacted laws or enforcement actions accordingly.
courthousenews.comcourthousenews.comSome GOP states are targeting driver’s licenses issued to immigrants illegally...
m.economictimes.comm.economictimes.comSome GOP states are targeting driver's licences issued to immigrants illegally...
What the Evidence Shows
Several sources confirm that states like California and New York, which are generally governed by Democrats, allow undocumented immigrants to obtain driver’s licenses. These licenses often come with privacy protections that may limit the disclosure of personal information, which aligns with the "no name given" phrasing in the claim.courthousenews.comcourthousenews.comSome GOP states are targeting driver’s licenses issued to immigrants illegally...
newsweek.comnewsweek.comMap Shows States Where Illegal Immigrants Can Get Driving Licenses+3 more
Republican-led states, including Oklahoma, have taken a contrasting approach by enforcing immigration laws more strictly and targeting undocumented immigrants who possess these licenses.ocpathink.orgocpathink.org‘No Name Given’: Oklahoma nabs 125 illegal-immigrant drivers specifically reports that Oklahoma law enforcement arrested more than 125 illegal immigrants during a targeted operation along Interstate 40, consistent with the claim.
The claim about "no name given" is somewhat figurative but reflects policies in some states to protect immigrant privacy on licenses or related documents. However, the exact terminology "no name given" is not a formal designation but rather an interpretation of privacy measures.
The broader context from sources like and shows ongoing political and legal debates about issuing licenses to undocumented immigrants, with GOP states generally opposing or restricting such practices and Democratic states supporting them.fairus.orgfairus.orgSome States Weigh Whether To Grant Driver’s Licenses To Illegal Aliens While...
fairus.orgfairus.orgDriver’s Licenses for Illegal Aliens: A Bad Policy That Undermines Our...
There is no direct evidence that all Democrat-run states issue licenses under a "no name given" label; this appears to be an oversimplification or rhetorical framing. Similarly, the number "more than 125" arrests in Oklahoma is supported by a specific report but may not represent all GOP states.
Overall, the core facts about differing state policies and Oklahoma’s enforcement action are supported by multiple independent sources.