You should file a formal complaint at your baranggay. The chairman will then summon both of you to appear before him for mediation. He would hear both sides and let you agree on something by yourselves. If amicable settlement could not be reached, he would form a group of arbiter. These arbiters would then summon you again for the second time but only to hear both sides then the arbiter would decide. This decision will be in the form of a written agreement signed by you and your neighbor, attested by the chairman, and as far as I know, also forwarded to the court. In both cases, you would be given a chance to object. Once the final agreement is out, the lupon (baranggay) I think has 6 months to enforce the agreement, otherwise, they would seek assistance from the courts.
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Based on personal experience and research (read Local Government Code, Book III, Chapter 7, Katarungang Pambarangay).
Our neighbor filed a formal complaint against us because he does not like us playing billiards in our garage (because of the noise). As far as I can understand, small issues like this and yours would not make it to courts and they have to be settled right within the baranggay level.
I suggest you file a formal complaint, or perhaps gather evidences showing your neighbor while he's cursing you, and then maybe you can take this complaint to a higher level. Or maybe you should buy a gun (only for show off of course) just to scare them whenever they're cursing you =)