As said thousands of times, it is not about 'Infidels' or the 'West' in particular.
Islamists kill each other just as easily, in some cases more easily, than they kill anyone else.
Islamists slaughter ten other Muslims, including their own family members, for every one non-Muslim they murder.
So if you think this is about Infidels converting to Islam, it is not. In fact that is more dangerous than not converting.
It is simply about death and murder for its own sake. Islam is a religion of death. The only way to show Allah that you are a 'good Muslim' is to murder someone/anyone, including yourself, to follow the path of Muhammed and to prove your 'faith'.
If the French Muslims are driven out of the country, which is probably a good thing, they would just start killing each other in their home countries. The murders would not stop, only the target would shift to whomever is handy. Which is infinitely preferable to them killing us.