Rabbis are not 'priests', unless they are also kohenim. The hereditary priesthood of Judaism still exists, even if it does not serve most of its biblical functions (there are still some ceremonial things that only a kohein can do). Rabbis have no more authority to perform rituals than any other adult male member of a Jewish community. A rabbi is a teacher, someone who is educated in halakhah, and able to instruct the community, answer questions, and resolve disputes over matters of the Law. In a synagogue setting, they serve much the same function as a Protestant minister. Their status as rabbi does not give them any special authority to lead religious services, though. Any Jew sufficiently educated to know what he is doing can lead a religious service, and a service led by such a Jew is every bit as valid as a service led by a rabbi. It is not unusual for a community to be without a rabbi, or for Jewish services to be conducted without a rabbi.
By the way. have your heard the allegation at Mustafa Kemal Atatuerk was a "secret Jew," whose family were "sabbateans" or Muslim Morannos, which is the reason he turned against Islam when he came to power?