After ambushing the officers as they ate lunch in a pizzeria, the couple took their guns and badges and placed a covering over them with the Gadsden flag, police told the Las Vegas Journal-Review. The American Revolution flag, with a picture of a rattlesnake and the words "Don't tread on me," has become a Tea Party symbol.
Law enforcement sources told the newspaper they also found swastikas associated with the couple.
Neighbors at their apartment complex said they knew the couple as Jared and Amanda. They said Jared frequently wore camouflage clothing when he was not dressed as Peter Pan for his job as a performer at the Fremont Street Experience.
Brandon Monroe said the couple moved in a few weeks ago.
"The man told Monroe he had been kicked off Cliven Bundy's ranch," Jessica Anderson, who lived next door to the couple said, referring to the rancher 80 miles northeast of Las Vegas who forced the Bureau of Land Management to back off from an attempt to seize his cattle.
Krista Koch, another neighbor, said Jared and Amanda talked about disappearing -- "going underground" -- until they were prepared to kill people. They also talked of killing police.
Alyn Beck, 41, and Igor Soldo, 31, were shot dead in CiCi's Pizza shortly before noon Sunday. An investigator said the woman shot both men.
Sheriff Doug Gillespie said he could not confirm witness statements that the man called "This is the start of a revolution."
Police said the couple went to the nearby Walmart, where they killed a woman shopper. The woman then shot her husband and then put a bullet in her own head.
"It's a tragic day," Gillespie said at a news conference Sunday. "We have lost two officers with young families."
2014: The Year in Music [PHOTOS]