Not sure what you mean by scare stories, but I can tell you I worked with EU ppl for three years on the banking directives. In 8 countries, i worked with bankers, central bankers, regulators, specialist press, management consultants, EU Civil servants etc etc. There was almost unanimity amongst the movers and shakers that the future was a federal European state, with an army, diplomatic corps, foreign policy, a single currency, fiscal union, etc etc.
Some examples: Lisbon treaty made Euro obligatory (except UK and Denmark as per Maastrict).
After the financial crisis, southern countries were in a mess. EU solution was a version of austerity that made our own look like a tea party. Greece, Spain 35% unemployment, 50% youth unemployment etc.
And Why? To save the Euro and the German banks whose lending had fuelled the spending spree and were now hopelessly exposed. Why save German banks? Because the ECB took the view that German bank failure would endanger the project, so throw Greece particularly under a bus. Read Varoufakis on the subject.
I spoke to hundreds of ppl on the project and a Euro super state was the clear agenda. Whether ppl find that scary, is up to them.
Edit PS. With the anti americanism of the French (not to mention anti British feeling) and the willingness of the Germans to bulldoze anybody who got in their way, plus indifference to suffering in the developing world caused by the customs union, they scared the shit out of me.