I believe they do, and that they will. I have predicted for years that the anti-Muslim backlash would begin the France.
The refusal of "French" Muslims to assimilate will be their undoing. They look, act and behave as alien savages, and they have elected to crowd themselves into isolated enclaves that will become their own slaughterhouses. There will be no place in France for them to hide. Once unleashed, the bloodlust will spread across Europe like a wildfire. "Leave or die!" will be the ultimatum.
This was all so preventable, but a shrinking Europe chose to import Muslim labor to replace the millions of its own children that it aborted. Now the guests are breeding like rabbits and threatening to conquer their hosts. The only alternative to the expulsion or slaughter of European Muslims is the eventual slaughter of Europeans by Muslims.
At this point, I'm still betting on the awakening of Europe's dormant genes. Vive la France!
The French involvements in Syria and Mali have the possibility to become very expensive and very destructive. If they want to build up their country, they should do so at home.