You know what pisses me off? Squirrel wars. When one squirrel and another square off and start yelling at each other in Squirrelese. Why the hell won't they knock that shit off? The birds have never bothered me, but I get your point. My dad had this issue with grackles. You know, once grackles move into the neighbourhood, it becomes a problem. There's just no reasoning with them. Maybe you just need to encourage them to party elsewhere? Get one of those plastic owl things that look totally pissed off, and just set it up outside your bedroom window? This worked for dad.
My main night time animal noise problem continues to be our cat, who likes to yowl like he's being murdered for 15 min - 1 hr somewhere between 3:30 AM and 5:00 AM most nights. He has free range of the house, and is allowed in the bedroom and such, but he always does it in another room, or in the echo-y stairwell. He can be doing this in the basement, and I can here him all the way on the top floor. And he's all "Wooooooow! Mooooooooow! MaaooooOOOooooow! Roooow! Wawawooooow! Mamooooow!" He is fixed and in good health. The only explanation anyone can give is that he's part Siamese and sometimes they just do that. I've tried reasoning with him, threatening to murder him, playing with him before bed, ignoring him... nothing works.
What I'm telling you r_g is that sometimes animals are dicks.