A husband and wife who went on a deadly shooting rampage in Las Vegas harbored anti-government beliefs and left a swastika and a “Don’t tread on me” flag on the body of one of the two police officers they killed, authorities said Monday.

Jerad and Amanda Miller had been kicked off a Nevada ranch where anti-government protesters faced down federal agents earlier this year because they were “very radical,” according to the son of rancher Cliven Bundy.

Assistant Sheriff Kevin McMahill said the Millers had ideology shared by “militia and white supremacists,” including the belief that law enforcement was the “oppressor.”

Police believe the shootings were an isolated act, not part of a broader conspiracy to target law enforcement, McMahill said.

Ammon Bundy, one of Cliven Bundy’s sons, said by telephone that the Millers were at his father’s ranch for a few days this spring before they were asked to leave by militia members for unspecified “conduct” problems. He called the couple “very radical” and said they “did not align themselves” with the beliefs of other protesters, who thwarted a roundup of Cliven Bundy’s cattle by the U.S. Bureau of Land Management, which wants to collect more than $1 million in grazing fees and penalties.

On Sunday, the two Las Vegas police officers were having lunch at a pizza buffet in an aging strip mall about 5 miles northeast of the Las Vegas Strip when the Millers fatally shot them. The attack at a CiCi’s Pizza killed officers Alyn Beck, 41, and Igor Soldo, 31, both of whom were husbands and fathers.

According to McMahill, this is how Sunday’s events unfolded:

The Millers left a neighbor’s apartment where they had been staying around 4:30 a.m. and walked to the strip mall, about 5 miles away.

Jerad Miller went briefly into the restaurant, then left and got his wife, leaving their backpacks outside.

The two officers were sitting in a booth. Jerad Miller fatally shot Soldo in the back of his head. As his partner tried to react, Miller shot him once in the throat. Amanda Miller then pulled her own gun and both shot Beck several times.

Police believe that while the Millers wanted to target police, the choice of Soldo and Beck was random.

Pulling the mortally wounded officers from the booth, they took their guns and ammunition and put a yellow Gadsden flag featuring the phrase “Don’t tread on me” and a swastika on Beck’s body.

The couple then headed to a Wal-Mart about a block away. Jerad Miller fired one round and told the people to get out.

In the frenzy, shopper Joseph Wilcox told friends he was going to confront Jerad Miller — not realizing that Amanda Miller was his accomplice. Wilcox went from the checkout area to Miller and pulled his concealed firearm. But before he could fire, Amanda Miller shot him in the ribs and Wilcox collapsed.

“Joseph died trying to protect others,” Sheriff Doug Gillespie said.

On Monday, Sheriff Gillespie acknowledged that his force was on edge.

Asked about worries that more officers may be targeted, he responded: “Is that weighing? Sure, there’s no doubt about it.”