Cheney was one of just 10 Republican members of the House to join Democrats in voting to impeach Donald Trump.
On Fox News, Rivera responded forcefully to Limbaugh's comments that political division could lead to a Civil War-style break-up of the U.S.
Under the new proposal, if California were to secede from the U.S., Native Americans would receive about 47 percent of the state's land to create their own nation.
The state was the first to secede from the Union over the right to own slaves, and a modern threat is over the right to own guns.
"It doesn't matter if you're liberal or conservative," an independence movement leader said. "If you're Californian, everyone is concerned about the nature of the state."
His departure would lead to the Third Spanish Republic, new governments in Madrid and Barcelona, and to a constitutional assembly.
90 percent of Catalans voted for independence on October 1, but the turnout was only 43 percent.
'Yes California' envisions an independent republic made up of its own states.
Brexit guarantees that a Europe already consumed with problems at home will turn even more inward. That's not good news for Washington.
Theresa May has tripped Article 50. What exactly does it say? Read the full text
Exit poll shows separatists have won a clear majority of seats in Catalonia's parliament.
But it's unlikely to happen.