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.
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.
So far drone strikes (excluding deliberate military stuff) have caused damages of $0 I think.