After his marriage to Sheindel, the daughter of Rabbi Mordechai Winkler, author of Levushei Mordechai, Dushinsky became the Chief Rabbi in Galanta, Slovakia. In an epidemic during World War I, his wife died, leaving no children. He subsequently remarried Esther Neuhaus, daughter of Rabbi Yoel Tzvi Neuhaus. He relocated to the town of Chust to assume the position of Chief Rabbi. In 1921, his only child, Yisroel Moshe, was born.
In 1930, the Dushinsky family moved to the British Mandate of Palestine, settling in Jerusalem. Shortly after in 1932 came the death of the Chief Rabbi and founder of the Edah HaChareidis, Rabbi Yosef Chaim Sonnenfeld. Dushinsky was appointed as his successor. He founded a community of Hungarian Jews in Jerusalem, affiliated with the Perushim section of the Edah HaChareidis. This community gradually developed into a Hasidic dynasty, which is today headed by his grandson, who was named after him.
In fall 1948 Dushinsky was hospitalized in the Shaarei Zedek Hospital on Jaffa Road under the care of Dr. Moshe Wallach, director-general of the hospital. He died on the eve of Sukkot 1948 and was buried in the small cemetery adjacent to the hospital, which was used as a temporary burial ground during the 1948 Arab-Israeli War when the Jewish cemetery on the Mount of Olives was inaccessible. He was succeeded by Rabbi Zelig Reuven Bengis as Chief Rabbi of the Edah HaChareidis, and by his son, Rabbi Yisroel Moshe Dushinsky, as leader of the Dushinsky Hasidim, which would under the latter's leadership turn into one of the newest Hasidic dynasties.
His Torah commentaries have been published in the Toras Maharitz series.
The Jerusalem Municipality sought to honor Dushinsky after his death with the naming of a street, but his son refused for fear that any Shabbat desecration that occurred on the street (e.g. the driving of cars on the Shabbat) would cause pain to his father's soul. After many requests, his son agreed to the naming of a passageway of stairs in the Pagi (Sanhedria) neighborhood after his father, since cars could not access this path.