"Will the people rise up against the EU?"
No.
Not "Western Europeans". They'll do what they're told to do.
Eastern Europeans -- such as the Poles, Hungarians, Czechs, Slovaks -- that's a whole different story. They may eventually find the EU no more attractive to their countries than was the Warsaw Pact and Iron Curtain that preceded it.
They'll either break away to form their own "Central European Alliance", or may even "tilt eastward" again towards Russia...