I see a lot of confusion and misplaced expectations.
Here's how things might happen.
The white French have largely left the big cities, whenever it was possible, or at least they tried to move far away from the Arab/Muslim infectious spots. Most of them are barely even affected by this violence. There won't be a race war, as there are no real weapons to fight it with.
Things will die down slowly, the police will arrest the most involved, and the French will vote more and more right wing and immigration restrictionists, as well as reactionaries that promise to undo the African infestations. If lucky, the migratory flows will diminish and France will be a strong anti-immigration voice in the EU, and ally with Poland, Hungary and rest of Central/East EU on the issue, instead of being a progressive state like Germany or Netherlands. \
This is how I see a positive outcome. A negative outcome, hard to imagine, as France is not actually that progressive when it comes to race, it's just that you are not hearing much from RW Frenchies cause they stupidly isolated away from migrants.