I am sorry but the way it reads at first is that the town was run over with ferrel cats not just from your neighbor.. you do have a right to have chickens but should you if you can't stop all the cats in town that are bothering you.
I hope you can get the animal control to help you but it...
I do not mean this in a mean way but perhaps it would be better to wait till you live out in the country like you said you wanted, no sence in getting into trouble with something you have no real control over and it sounds like folks don't mind the cats in the area cause if enough folks...