File a police complaint for harassment. In municipal court you need to show a persistent pattern of this behavior. Videotaping it would be a good idea. Since the local police are glossing over this misbehavior, use an attorney to file suit. If the harassment continues you might want to consider a civil suit for emotional harm.
Mr. Sarno is licensed to practice law in NJ and NY. His response here is not legal advice and does not create an attorney/ client relationship. The response is in the form of legal education and is intended to provide general information about the matter in question. Many times the questioner may leave out details which would make the reply unsuitable. Mr. Sarno strongly advises the questioner to confer with an attorney in their own state to acquire more information.
It sounds more like you may wish to consider a civil suit for harassment, based upon their tending to call the police over false allegations. Calling the police in this instance probably will get you nowhere, but a civil suit for damages may.