I've had to cull grackles in the past in Indiana. They are quite noisy, can be almost as smart as a starling at times, and will their fair share of damage to crops. They have tendencies very similar to house sparrows when it comes to other birds nests and young as well.
In short, if they meet the requirements, and your state also has clauses involving them then you can usually take care of matters yourself. Of course if you don't want to do that you can always wait till the 4th of July and let the fireworks scare them off.