" A solid lump of flesh and bone or a solid lump of styrofoam, plastic, and some small bits of metal." FTFY
I would worry more about the "potentially explosive" lithium batteries, but the actual energy involved is likely less than the rated capacity of 57Wh (for a DJI Phantom, a fairly large consumer model), or 205kJ of energy. If you consider they fire multiple chickens (at 3-4kg) at a combined vector of aircraft speed and compressor blade speed of 275m/s, the impact energy is north of 300(+/-)kJ. If you're concerned about high temperatures, remember that this is a jet engine made of high temperature steel and ceramics. Don't forget that they also fire 120+g balls of ice into the engines at hundreds of m/s, so it's not all "soft stuff" they test against these engines.
That's not to say that a large drone might not do damage to an engine, but if you combine the chance of an idiot drone pilot *and* the chance of getting ingested into an engine *and* the chance of actually having an impact which severely damages the engine you're talking very very remote possibilities. You may as well start patrolling the highways to make sure nobody flies above them for fear of the drone losing power and diving into traffic. Current laws cover the conditions well enough for general safety (glide slope and general hobby a/c altitude limits).