You can't kill aircraft with lasers yet, but you probably can kill drones and birds. Enough overheating would disable the batteries but allow birds to survive...?
I remember a certain project to kill female flies with lasers, and it was pretty efficient, despite not being cost-effective. 5000 dollars for the target recognition circuitry was a bit of setback, the rest being off-the-shelf parts, including the overpowered blu-ray laser emitter. Capable of recognizing and swatting over 90 flies +per second+. It ignored bees and other similar sized wildlife, actual species recognition included.
Upscale everything and brainstorm from there....?