Actually, what the French chose was to defend their socialistic welfare state and xenophobic social policies against a more-open-to-movement-of-capital-and-workers Europe. That's why you got such an amusing coalition of communistic and ultra-right-wing parties voting "Non".
Exactly. Many forget that the vote against the European common constitution was actually a vote against capitalism, the free market and all. It was all about preventing the removal of subsidies and the other tripe that socialism sells to win votes.
Sure, some feel satisfied that the "European Dream" is dead, but then a lot is to be interpreted from this.