Conservative Party members want to bring back the death penalty, believe Islam is a threat to the British way of life and think Donald Trump would make a good prime minister, a new poll has revealed.

The YouGov survey suggested 58 per cent of Tory members believe the death penalty should be allowed for certain crimes, against 37 per cent who do not back the return of capital punishment.

Some 56 per cent of members surveyed said Islam was “generally a threat” to the British way of life, while just 22 per cent thought it was “generally compatible”. It comes as the party struggles to shake off accusations it has failed to deal with Islamophobia.

On the question of Mr Trump’s leadership, 54 per cent said they believed he would make a good prime minister of the UK, with 43 per cent saying he would be bad.

The survey, commissioned for Channel 4’s Dispatches, also found that 42 per cent thought having people from a wide variety of racial and cultural backgrounds has damaged British society.

Biggest lies told by Boris Johnson Show all 5 1 /5 Biggest lies told by Boris Johnson Biggest lies told by Boris Johnson Made-up quote for The Times Johnson was sacked from The Times newspaper in the late 1980s after he fabricated a quote from his godfather, the historian Colin Lucas, for a front-page article about the discovery of Edward II’s Rose Palace. “The trouble was that somewhere in my copy I managed to attribute to Colin the view that Edward II and Piers Gaveston would have been cavorting together in the Rose Palace,” he claimed. Alas, Gaveston was executed 13 years before the palace was built. “It was very nasty,” Mr Johnson added, before attempting to downplay it as nothing more than a schoolboy blunder. PA Biggest lies told by Boris Johnson Sacked from cabinet over cheating lie Michael Howard gave Boris Johnson two new jobs after becoming leader of the Conservatives in 2003 – party vice-chairman and shadow arts minister. He was sacked from both positions in November 2004 after assuring Mr Howard that tabloid reports of his affair with Spectator columnist Petronella Wyatt were false and an “inverted pyramid of piffle”. When the story was found to be true, he refused to resign. PA Biggest lies told by Boris Johnson Broken promise to boss In 1999 Johnson was offered editorship of The Spectator by owner Conrad Black on the condition that he would not stand as an MP while in the post. In 2001 he stood - and was elected - MP for Henley, though Black did allow him to continue as editor despite calling "ineffably duplicitous" PA Biggest lies told by Boris Johnson Misrepresenting the people of Liverpool As editor of The Spectator, he was forced to apologise for an article in the magazine which blamed drunken Liverpool fans for the 1989 Hillsborough disaster and suggested that the people of the city were wallowing in their victim status. “Anyone, journalist or politician, should say sorry to the people of Liverpool – as I do – for misrepresenting what happened at Hillsborough,” he said. PA Biggest lies told by Boris Johnson ‘I didn’t say anything about Turkey’ Johnson claimed in January, that he did not mention Turkey during the EU referendum campaign. In fact, he co-signed a letter stating that “the only way to avoid having common borders with Turkey is to vote Leave and take back control”. The Vote Leave campaign also produced a poster reading: “Turkey (population 76 million) is joining the EU”

The programme, which will be broadcast at 8pm on Monday, highlights Islamophobic posts on Facebook from self-identifying members of the Tory party.

One member of the Boris Johnson Supporters Group said: “I would ban all Muslim (sic) from entering the whole of Great Britain.”

A member of the Jacob Rees Mogg Appreciation Society said: “Two mega mosques agreed planning permission in Maidstone and Worcester, how we feel about this?” Another person posted: “WRONG.”

The YouGov poll also reveals scepticism about the threat posed by climate change, with 46 per cent of Tory members saying concerns about climate change had been exaggerated, while 45 per cent said the danger is every bit as real as scientists have said.

Some 49 per cent of members said schools should not be required to educate children about LGBT relationships, and 51 per cent thought most people on benefits could get a job if they tried hard enough.

Hunt arrives at the Tory leadership hustings in Cardiff (PA)

YouGov questioned 892 of the Tory members – currently choosing between Boris Johnson and Jeremy Hunt as party leader and the next prime minister – between 11 June and 14 June.

A later study by the same firm, carried out after Mr Johnson and Mr Hunt had made it through to the final stage of the process, found the majority of members thought the former London mayor would make the “most trustworthy” prime minister.

The poll of 1,119 members carried out between 1 July and 5 July found 52 per cent backed Mr Johnson to make the most trustworthy premier, with 32 per cent favouring Mr Hunt.

A Conservative spokesman responded to the social media posts highlighted by Dispatches.

“Those people making these posts that we have found to be members of the party have been suspended pending investigation,” he said. “Discrimination or abuse of any kind is wrong and will not be tolerated.”

Mr Rees-Mogg said the Jacob Rees Mogg Appreciation Society Facebook group is not an official supporters’ group, adding: “I absolutely condemn such behaviour. Anyone who behaves in such a way is not one of my supporters and should be reported.”

Miqdaad Versi on the fundamental failures in Conservative Party over Islamophobia

In June ex-Tory chairwoman Sayeeda Warsi welcomed Conservative leadership contenders pledging to hold an internal inquiry into Islamophobia in the party, but said it was shame they had to be dragged “kicking and screaming”.

Miqdaad Versi, a spokesperson for the Muslim Council of Britain (MCB), last month revealed he had documented “hundreds of cases” showing Islamophobia in Tory ranks.

The MCB has submitted more than 20 pages of evidence to the Equality and Human Rights Commission, urging independent investigators to launch an official probe into accusations within the party.