I have lots of thoughts about this. Most of them relate to "how did anyone ever get to thinking about guard-birds in the first place??"
But I take issue with the phrase 'rogue drones'... The drones will be either autonomous, or piloted. Autonomous drones are what we should be frightened of, because in which case it seems our only tool (according to the Dutch) against the robot uprising is eagles? But many drones are not, truly, autonomous.
Piloted drones, as the name implies, have a pilot. If their pilot is AWOL, they'll just spin out of control or fly themselves into a wall = "threat" resolved. If their pilot is malicious and you take out the drone... well, good for you, but without finding the pilot they'll probably just get another drone in the air fairly quickly. They aren't exactly expensive these days, if you've got the will to be committing aerial crime.
So what are the eagles helping with?? I dunno, seems like a huge PR stunt to me. On behalf of whom I don't know - the Dutch tourist board? ("Come visit the Netherlands, we have Robot Wars. But with eagles. IN THE SKY.")