Devastated relatives have told how eight other children survived, including some who hid behind trees to escape the massacre near Bavispe in Sonora, about 250km south of the USA border.
Durazo and Mexican President Andres Manuel Lopez Obrador said the motives of the attack were unclear.
"It's psychological, but it's also economic", Trump said at the time. "We're going to wait to see what the investigations say about what actually happened".
The press office of the US embassy in Mexico did not immediately respond to request for more information after hours.
Judd said his message to politicians is that the Mexican drug cartels are "extremely dangerous" and "don't care about life and they're operating in the United States".
The U.S. Ambassador to Mexico, Christopher Landau, traveled to Sonora earlier on Monday for work meetings, he posted on Twitter. The most notable incident was a military-style cartel assault that forced the government to release a leader of the Sinaloa Cartel in October.
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Mexican Security Secretary Alfonso Durazo said the gunmen may have mistaken the group's large SUVs for rival gangs.
Now, grief from the latest high-profile massacre has spread across two countries.
The victims, dual US-Mexican citizens with ties to Utah, were caught in the crossfire in the northern border state of Sonora near where they worship with Church of Jesus Christ of Latter-day Saints.
Cell phone video shows the smoldering remains of a auto where at least five members of a family, including two infants, may have been murdered in Northern Mexico.
The sect has a tumultuous and sometimes violent past.
"Women and children (between 14 years old and 10 months) were massacred, burnt alive".
In more recent years, the group has had repeated conflicts with locals over natural resources - namely over water rights - and has been victim to organized crime.
"The safety and welfare of US citizens overseas is among the Department of State's top priorities".
Members of the community, whose apple and pecan farms are located on a drug and migrant smuggling route that leads into the United States, have always been proponents of looser gun laws in Mexico.