Fresh divisions are emerging within the US Republican Party over its presidential candidate Donald Trump.Republican donor Meg Whitman has endorsed his rival Hillary Clinton, saying Mr Trump’s “demagoguery” had undermined the national fabric.Senior party activist Jan Halper-Hayes told the BBC she thought Mr Trump was “psychologically unbalanced”.In the latest controversy, Mr Trump has refused to support two senior figures in his own party.In an interview for the Washington Post, he said he was “just not quite there yet” when asked if he would endorse House Speaker Paul Ryan and Senator John McCain, who are up for re-election in November. Both men have publicly criticised him. Mr Trump’s war of words with the bereaved parents of a US Muslim soldier killed in Iraq has triggered criticism of the Republican nominee from across the political spectrum and from veterans’ groups.President Barack Obama has questioned why the Republicans have not disowned Mr Trump, saying the billionaire does not have the judgement or temperament to occupy the White House.Ms Whitman, writing on Facebook, said that to vote Republican out of party loyalty alone “would be to endorse a candidacy that I believe has exploited anger, grievance, xenophobia and racial division”. “Trump’s unsteady hand would endanger our prosperity and national security. His authoritarian character could threaten much more,” the Hewlett-Packard executive said.Dr Halper-Hayes, vice-president of Republicans Overseas Worldwide, told the BBC’s Today programme that she was “very concerned” about Mr Trump’s behaviour, although she would not go so far as to endorse Mrs Clinton. “I think there is an element of him that truly is psychologically unbalanced, and I feel very guilty for saying this because I’m a Republican and I want the Republican ticket to win,” she said.”But Donald is out of control right now and he’s not listening to anyone.” Dozens of senior Republican Party figures have already said they would not vote for Mr Trump, including the party’s 2012 nominee Mitt Romney and former Florida Governor Jeb Bush. New York Representative Richard Hanna became the first Republican member of Congress to publicly say he would vote for Mrs Clinton. He described Mr Trump as “deeply flawed in endless ways”. On Monday, Sally Bradshaw, a top adviser to Jeb Bush, said that Mr Trump’s candidacy had convinced her to leave the Republican Party. Many Republicans opposed to Mr Trump have stopped short of supporting Mrs Clinton, saying they would vote for a third candidate instead.However, former Republican congressman John LeBoutillier told the BBC’s Newsday programme he believed many Republican politicians would back Mrs Clinton. “Now I think in private a lot of Republican congressmen are going to vote for Hillary, they can’t stand Trump,” he said. Despite the criticism, Mr Trump tweeted on Wednesday that there was “great unity in my campaign, perhaps greater than ever before”.Mr Trump’s son Eric defended his father’s comments about the Khans, telling CBS News that they had been been “blown hugely out of proportion”.In response to Mr Obama’s criticism, Mr Trump dismissed the president’s time in the White House as a “disaster”. “He’s been weak, he’s been ineffective… the worst president, maybe, in the history of our country”, he said in a Fox News interview.Mr Trump’s spokeswoman Katrina Pierson later caused a social media storm by blaming both President Obama and Mrs Clinton for the death of Capt Humayun Khan, citing their policies on Iraq. Capt Khan died in 2004 when Mrs Clinton was in the US Senate and five years before Mr Obama became president.Mrs Clinton has been actively courting moderate Republicans. A Reuters/Ipsos opinion poll suggested she had extended her lead over Mr Trump to eight percentage points, from six points on Friday.