"I'd wager that that far more than 52% would vote for implementing referendum results regardless of their opinion."
And that might well be part of the problem. Referenda should *never* be taken as binding and acted upon. Their whole purpose is to posit the question 'Should we write something detailed up to be voted upon',. This is the real problem with Brexit, nobody actually knew what they were voting for, as the terms of leaving were never discussed. Hence you get the hard-line "Brexit means Brexit" morons who don't even realise that "Brexit" means different things to different people.
All the Drexiteers complaining that the Government is 'betraying the will of the poeple' need to wake up and realise that the Government is perfectly portraying the 'will of the people' i.e. a small majority of those who actually turned out squabbling over what they actually meant, whilst the small minority who turned out (and quite possibly othere who didn't) are united against all of the factions.