If you can get your hands on some cat pee just splash that in the location of where birds are hanging out. I assume a dove is in a tree probably out of reach.

Splashing water on pigeons usually keeps them away for a few days at a time. They don't like it and they remember and they tell their friends, it's weird. Maybe next time they wake you use a decent water gun, with water not the aforementioned cat pee. lol. Might drag out of bed and ruin your night but the next night should be better.

And your pet chain reaction is classic awesomeness.