The claim that deporting criminal illegal alien murderers reduces murders is misleading because while removing individuals convicted of serious crimes might intuitively reduce crime, multiple reliable studies show that immigrants, including undocumented ones, generally commit crimes at lower rates than native-born citizens, and increased deportation enforcement has not been clearly linked to reductions in local crime or homicide rates.
Deporting criminal illegal alien murderers reduces murders.

Debunking the Myth of Immigrants and Crime - American Immigration ...
Source: americanimmigrationcouncil.org
Key Evidence
FBI and Census data analyzed by the American Immigration Council show immigrants commit crimes at lower rates than native-born Americans.
americanimmigrationcouncil.orgamericanimmigrationcouncil.orgDebunking the Myth of Immigrants and Crime
A 2016 study found no link between increased deportations and reduced local crime rates.
en.wikipedia.orgen.wikipedia.orgIllegal immigration to the United States and crime
PNAS research indicates removing immigrants with low felony rates does not significantly reduce overall crime risk.
pnas.orgpnas.orgComparing crime rates between undocumented immigrants, legal immigrants, and...
FactCheck.org and BBC reports debunk inflated claims about illegal immigrant murderers.
factcheck.orgfactcheck.orgTrump, Vance Wrong About 'Illegal Immigrant Murderers'
bbc.combbc.comTrump makes misleading claim about migrants with criminal records
What the Evidence Shows
The assertion that deporting criminal illegal alien murderers reduces murders is often presented as common sense by agencies like U.S. Immigration and Customs Enforcement. However, comprehensive research challenges this straightforward cause-effect relationship. Several studies and analyses indicate that immigrants, including undocumented immigrants, tend to have lower crime and homicide rates compared to native-born populations. For example, a 2016 study cited on Wikipedia found no correlation between increased deportation enforcement and reductions in local crime rates.americanimmigrationcouncil.orgamericanimmigrationcouncil.orgDebunking the Myth of Immigrants and Crime
migrationpolicy.orgmigrationpolicy.orgExplainer: Immigrants and Crime in the United States+3 more
Moreover, research published in the Proceedings of the National Academy of Sciences suggests that removing individuals with relatively low felony crime rates is unlikely to significantly reduce overall criminal victimization. Fact-checking organizations and investigative reports have also debunked exaggerated claims about the number of illegal immigrant murderers roaming free, highlighting inaccuracies in political rhetoric.factcheck.orgfactcheck.orgTrump, Vance Wrong About 'Illegal Immigrant Murderers'
bbc.combbc.comTrump makes misleading claim about migrants with criminal records+1 more
While it is true that some illegal immigrants commit serious crimes, the data do not support the broad claim that deporting these individuals leads to a measurable decrease in murders nationwide. The complexity of crime dynamics and the relatively low incidence of violent crime among immigrant populations mean that deportation alone is not a clear or sufficient strategy for reducing murder rates.
In summary, the claim oversimplifies a complex issue and ignores substantial evidence showing that immigrant populations are not major contributors to violent crime and that deportation policies have not demonstrably lowered murder rates.