As you seem to be struggling with many things
As I have already noted, I am "struggling" with nothing on this topic.
I thought I would summarize.
1. After years of concern over the ever encroaching EU, the Tories whilst an elected government promised a referendum. You would not have seen the call for this as it was by ordinary working class people and not your champagne socialist buddies and snobby left wing musicians.
2. The Tories whilst an elected government duly held the referendum.
3. Brexit won by a majority of over 1,000,000 people.
4. It is now the duty of Parliament to carry out the wishes of this majority.
It is as simple as that.
It's anything but!
"After years of concern over" what some but bny no means all might have thought of as "the ever encroaching EU", the Tories when in office did indeed promise a referendum on UK's continued EU membership.
However, you assert that I "would not have seen the call for this as it was by ordinary working class people".
Firstly, I saw "the call for it" as a perfectly transparent and cynical ploy on the Tories' part to attempt to address what it perceived as internecine wars within itself that might ultimately risk some of their MPs defecting (I nearly wrote "defecating") to UKIP; I am by no means the only person to have recognised this as the Tories' reason for its decision on the matter or indeed that it was both an unwise and inappropriate decision.
Secondly, I was as unaware as most people that the Tories were heavily populated or influenced by "ordinary working class people" (whoever they might be); since when did a Tory government seeking to remain in office pander to the alleged wishes of "ordinary working class people", many of whom had noted voted for it and would probably not do so in future, when preparing its election manifesto?!
Thirdly, I do not have "champagne socialist buddies and snobby left wing musicians", whatever either of those might be or whyever it might be that you think that I do (not that the company that I choose to keep is relevant to the issues at stake here).
Fourthly, the Tories didn't just promise and then deliver a referendum and stand passively and neutrally on the sidelines to let the electorate decide; on the contrary, they made it abundantly clear that they supported the
status quo (apart from some fraught and largely unsuccessful attempts to negotiate with EU before holding it) and indeed allocated some £10m of our money to persuading the electorate to vote Remain. They came unstuck and their electoral credibility came unstuck with them.
Neither Leave nor Remain "won", nor did the 1m+ more people who voted for the former than did so for the latter constitute a "majority" of the electorate, since only around 72% of that electorate voted either way; OK, that was undoubtedly a comparatively high turnout, but it still meant that only some 37% of the electorate in just two of UK's four countries voted for UK to leave EU (to say mothing of all the misleading that prompted some of them to do so). The Tories who held the referendum were regarded by many as "the establishment" and many people voted in the hope of delivering a kick in the pants to them; it was accordingly to a significant degree an anti-establishment protest vote.
"It is now the duty of Parliament" to serve the best interests of the UK populace as effectively as it can - but then it is always Parliament's duty to do that. If it fails to honour that duty, it will deserve to be voted out and may well be so if matters develop in ways that are seen as failing to benefit UK.
If it were all as "simple" as you claim, why is it that, 111 days after the opinion poll result became known, nothing material has yet been done to implement Brexit and the UK economy is beginning to suffer not so much from the negative effects of a possible Brexit but from the ongoing uncertainties and inactions that now pertain.
It is not even as though there is - or indeed is ever likely to be - majority agreement about what might constitute a "hard" and a "soft" Brexit, or which of them is the best way to try to go.
We don't yet know what the outcome of the Court cases might be or how long it might take to reach their respective conclusions.
We don't know for certain when or if Article 50 will be invoked, or whether, if it is invoked, Scotland will call a second independence referendum and/or Northern Ireland might try to stay with EU by becoming part of the Republic (and it is interesting to note that people from the Republic are currently going to NI in their droves to buy stuff while the UK pound is so low against the Euro).
We do not know and cannot predict how many firms that employ people in UK will relocate all or parts of their operations elsewhere during the ongoing period of confusion, uncertainty and possible negotiation.
We do not yet know to what extent UK will remain obligated to EU even after it servers its ties with it, should it ever do so.
Above all, we do not know what results any negotiations will achieve and whether and to what extent they might or might not benefit UK; should they not favour UK's interests, UK will have gone through all that Brexit plans and negotiations entail to no avail and at colossal expense to the UK taxpayer.
If Scotland and/or NI quit UK during any negotiations before they are complete and the end result of those negotiations proves to be so adverse to UK's interests, UK will have lost two of its four constituent parts for nothing.
Yes, it's all just SO simple, as you aver!
Best,
Alistair