Excluding planned collisions, or collisions during failed docking, I found 4 instances of collisions between satellites and space debris. Ever. Now, a couple of things:
* Yes this larger constellation will increase those odds in the future.
* No, a catastrophic doomsday scenario did not occur when those happened.
* SpaceX will have complete control of these satellites through their operational lifespan (excluding collisions or malfunctions).
* Orbital decay for debris at the altitude they're operating at is ~10 years.
Also, have to ask... is all this concern a result of reading Seveneves? :)