The Republican pariah Liz Cheney has repeatedly refused to admit a link between Donald Trump’s lies about voter fraud and restrictive voting laws being introduced in Republican states, telling an interviewer on Sunday night she will “never understand the resistance to voter ID”.

“There’s a big difference between that and a president of the United States who loses an election after he tried to steal the election and refuses to concede,” said the Wyoming representative ejected from party leadership for opposing the former president.

Laws tightening regulations on voter ID, voting by mail and even giving water to those waiting on line to vote have been passed or are close to passage in states from Georgia to Texas and beyond.

Because of their disproportionate impact on minority voters – many of whom vote Democratic – Democrats including Joe Biden have compared such laws to Jim Crow segregation in southern states from the civil war to the civil rights era.

Most in a Republican party under Trump’s grip reject such claims. Cheney has ranged herself against Trump but when pressured by Axios on HBO interviewer Jonathan Swan, she stayed in lockstep with her party.

The US secretary of state, Antony Blinken, has pledged the Biden administration will deal with “the grave humanitarian situation in Gaza” and will seek “equal measures of security” for Israelis and Palestinians as a ceasefire after 11 days of conflict held throughout the weekend.

More than 240 people in Gaza, including at least 66 children, and a dozen in Israel were killed during the violence, marking the first major diplomatic crisis for the Biden administration.

Blinken told ABC News on Sunday that the ceasefire was “critical” to position the US “to make a pivot to building something more positive” and reiterated that the administration supports a two state solution.

“That has to start now with dealing with the grave humanitarian situation in Gaza. Then reconstruction, rebuilding what’s been lost. And critically, engaging both sides in trying to start to make real improvements in the lives of people so that Israelis and Palestinians can live with equal measures of security, of peace and dignity,” Blinken said.