Most voters believe a cross-party team of politicians, businesses and trade unions should negotiate Britain's exit from the European Union - but they don't want Nigel Farage to be involved, according to polling.
Research for the Trades Union Congress (TUC) found 69% of Remain supporters and 65% of Leave backers want the group leading the discussions to be pulled together from across the political spectrum.
Just one voter in 10 wants the Government to act alone, the Greenberg Quinlan Rosner Research (GQRR) discovered.
But more than half (52%) are opposed to Ukip's Farage playing any role in the process.
Immigration was one of the most important issues for 43% of voters and 71% of Leave supporters felt let down by the "establishment", according to the study.
TUC general secretary Frances O'Grady called for "reflection" before Article 50, the process that pulls Britain out of the EU, begins.
She said: "These findings show that people chose how to vote at the referendum for a range of reasons. It was not a straightforward call for immediate exit from the EU without a plan.
"That's why I am today calling for reflection before Article 50 is triggered. The British people are clear. Leaving the EU must be done carefully, and with the involvement of people from across British society - unions and businesses as well as politicians from all parties.
"We need a proper plan for life outside the EU. If we rush, lasting damage will be done to our economy and to the livelihoods of working people."
The findings came as a think-tank said Brexit negotiations should include demands for an emergency brake on EU migration that would be triggered whenever levels hit UK wages or harmed industry and the regions.
The Institute For Public Policy Research (IPPR) said Britain would have to change its access to the single market and could give up membership of the customs union as a trade off.
Director Tom Kibasi said: "The biggest challenge for Theresa May is correctly judging the right balance between migration policy and access to the single market.
"At IPPR, we think that the best answer is to negotiate a new different emergency brake on free movement, triggered whenever EU migration is harming wages in particular occupations, sectors or regions of the UK and, if triggered, would temporarily restrict the number of EU migrants allowed to work in the occupation, sector or community affected.
"On the single market, it is reasonable to assume that any change to migration policy means changing our access to the single market.
"The first thing to give up is our membership of the customs union. This would not entail giving up free trade with the EU: it would simply mean that we were no longer bound by the trade agreements that the EU has signed between itself and the rest of the world."
GQRR conducted an online poll of 2,716 respondents between June 24 and 27.