Yes, you are WAY over-reacting.
Unless you are actively seeking out a riot, in fact seeking out being right in the middle of one, you will be fine. Riots are hard to miss, they're very obvious from quite a distance away, and easy to identify (believe me, I've been in a few - but only because I wanted to participate). Honestly, riots don't sneak up on you and jump out from behind a tree, asking if you've lost a golden ring or warning you that a pigeon has crapped on your shoulder.
Just use common sense - eg, if you don't feel like participating in a riot, and you see one happening in the distance, walk away from it, not towards the middle of it. That's pretty much all you need to know.
Go, enjoy France, stop freaking out. It's not your riot (unless you really want it to be).