It should be noted that some French Jews have very deep roots in France, with ancestors going back to the Napoleonic era. That may be a mitigating factor on the exodus that might be occurring.
That mitigating factor had its limits the last go round.
The problem with French Jews c. 1940 (and Jews in most of the nations in continental Europe that were militarily invaded and occupied by Nazi Germany) was that too many couldn't foresee that their nation would be overrun by a foreign power and that foreign power had an unprecedented plan for genocide.
In the current situation, France has the largest Jewish community of any European nation. They are not held captive by the French government and can leave if they wish. Some are doing just that, but the numbers going to Israel or other countries are still relatively small. So you have to say that, despite all the problems with the Arab Muslims, there has to be something about France that the bulk its Jewish population is comfortable with.