A majority of independent voters do not strongly disapprove of Trump's handling of immigration; polling data shows independents are more evenly split or lean toward moderate disapproval rather than strong disapproval.
A majority of independent voters strongly disapprove of Trump's handling of immigration.

FactVerify
Source: factverify.com
Key Evidence
NBC News polling shows independents nearly evenly split on approval (51%) versus disapproval (49%) of Trump's immigration handling.
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The YouGov poll finds 61% opposition among independents to certain policies but does not specify strong disapproval.
Pew Research indicates mixed to negative views without confirming strong majority disapproval among independents.
What the Evidence Shows
The claim that a majority of independent voters strongly disapprove of Trump's handling of immigration can be broken down into two components: first, that a majority of independents disapprove, and second, that this disapproval is strong. Multiple polls indicate that independents are divided on Trump's immigration policies, with some showing near-even splits between approval and disapproval. For example, NBC News polling found 51% of independents approve and 49% disapprove of his handling of immigration and border security.today.yougov.comtoday.yougov.comTrump approval falls, Israel-Iran conflict, anti-ICE protests, and vaccines:...
Other sources show that while there is notable disapproval among independents, it is not a clear majority expressing strong disapproval. The YouGov poll indicates 61% of independents oppose certain Trump immigration-related policies, but this opposition does not necessarily equate to 'strong' disapproval.
Additionally, the Pew Research Center reports mixed to negative views overall but does not specify strong disapproval among independents. The data suggests that while there is significant concern or moderate disapproval among independents, the characterization of a majority strongly disapproving is not supported. Contextually, immigration remains a divisive issue with nuanced opinions across the political spectrum, and independents often hold more moderate or mixed views compared to partisans.
Therefore, the claim overstates the intensity and majority status of independent voters' disapproval.