You are probably correct, they are doing plenty behind closed doors. The problem is, they are basically down to two choices, both of which are political suicide. They either ignore the referendum, and stay in, in which case a large portion of the electorate will turn out at the next general election and vote against them for thwarting their will. Or they go ahead with Brexit, which will be a hard version, and they wreck the economy completely as our financial services industry ups and leaves for mainland Europe. Which means all the people that voted stay in the referendum will vote against them in the next general election, along with all the leavers that suddenly realise it was actually a bad idea.
I don't think they know which option is worse yet, so they are hoping desperately that something happens that means they don't have to make the decision. Ever hear the story about the guy that was going to be put to death, until he offered to teach the king's horse to sing in a year? That is basically the government policy at the moment.