My little racing drone is certainly carbon fiber but it weighs a couple hundred grams.
DJI phantoms, last model I saw is built of plastic.
There hasn't been a recorded plane v drone crash that I've seen documented (the last one that hit the news ended up being birds).
Regardless the rules say under 400', not within 5 miles of an airport and some other locations.
I'm not opposed to a drone 'license plate', I'm all for fining or jailing people that are flying these things near the white house. I'm seeing a lot of hysteria right now triggered by some jackasses who can't be responsible with their toys.
Wikipedia has that bird strikes "cause annual damages that have been estimated at $400 million within the United States of America alone and up to $1.2 billion to commercial aircraft worldwide."
So far drone strikes (excluding deliberate military stuff) have caused damages of $0 I think.
but tiny toy battery-operated "drones" typically fly at much lower altitude then any jet engine would be flying at... while some birds fly at much higher altitudes then toy quadcopters...
Many "drones" are build with super-tough carbon fiber frames. Additionally, LiPo batteries (very common in quad copters) can be quite hazardous.
Combine these together and toss one into a running jet engine - I don't believe the danger would be "about the same" as a bird.