The country is certainly fed up with its politicians. The local elections were a massive reprimand to the Tories and bad for Labour. And yet the two parties are still talking to try to agree a deal to get Brexit through. I agree with most commentators that it is very hard to believe that the two parties will reach an agreement that a majority of their MPs will support.
My conclusion is that there is still quite a high chance of a confirmatory referendum ( ie after the Commons agrees some package, the people decide if they want that or to stay as we are ). Neither May nor Corbyn want a referendum that might well leave the UK in membership of the EU but it might be the only way to get a decision. After all they didn’t want to participate in the European Parliament elections but are now doing so because time elapsed and no decision on Brexit had been made so they were legally bound to do so.