It is not enough to warrant giving the barking dog what it demands from others and it does not deserve, as that will teach it that such barking is okay.
In any case, it is a much weaker dog than you, and the dog has fewer functioning nuclear weapons and delivery systems. Ultimately the dog won't bite with nuclear weapons because it knows you bite harder and it will lose.
Come to think of it, such an aggressive dog which repeatedly barks and attacks its own neighbors unprovoked is a threat to the community and should be put down.