It already is dead, has been for ages, what we have is zombie democracy.
Parliament, by way of the tories collective cabinet decision making...effectively Cameron, gave us the referendum.
That same Parliament, though via a totally different aspect of it, having previously decided by a near 5 - 1 majority that brexit should and did mean brexit, now effectively decides...because it can't make up its own mind what sort of brexit it wants, or, it has to be said, if it really, really, deep down, wants it all.
But on the day, those who were asked to vote and actually turned out to vote, voted leave.
A 2nd vote or otherwise over turning the result...which will in effect be the same thing, is the anti-democratic version of shooting the messenger.
Its the facist zombie parliament saying sniff it...we will because we can and you lot can do one.