Which talking head demagogues - the ones scaremongering in support of Remain, or the ones favoring Leave?
And are you actually saying that such important decisions shouldn't be left up to voters? If so, then should choosing leaders be left up to voters?
It seems pretty clear that many (not all) of those who voted Leave were in fact telling the EU and the scaremongering demagogues for Remain, "Fuck you." And some other portion (the sets probably overlap) were saying something like, "This EU thing isn't working out like you said it would, so we want out." Not, "I don't know what I want."