Another 29 per cent said they would comply if required but would ‘not feel comfortable’ doing so.
Those who believed the extreme vetting would be ‘an invasion of privacy’ accounted for 63 per cent.
Almost three quarters (72 per cent) of pollers said the new rules would make them less likely to visit the US and over a third (37 per cent) would ‘definitely not go’ at all.
There were several reasons Brits were concerned about handing over their personal data.
Almost half (47 per cent) were worried someone would post something on their account.
Exactly half were concerned about officials accessing their bank details and 52 per cent thought they might mess with settings.
KAYAK travel expert Suzanne Perry said: “The new presidency and the border control rules he has already introduced have had a very negative impact on demand for travel to the US. Formerly one of Brits’ favourite destinations, interest is hugely down in just one year.
“As the research shows, introducing further rules such as requiring visitors to hand over social media passwords would have a strong, additional impact on Brits’ likelihood to visit the country and have further negative consequences for the US tourism industry as a whole.”
US tourism numbers from the UK have already taken a hit since the Trump administration took office.
Flight searches to typically booming tourist destinations have nosedived compared to last year.
Orlando searches are down 58 per cent, For Lauderdale down 57 per cent and Miami down 52 per cent.
Las Vegas has noted a 36 per cent drop and Los Angeles 32 per cent.
While nothing has been confirmed with regards to new extreme vetting rules, US homeland security secretary John Kelly has promised tighter screening is on the way.