For Chicano Movement activists in the 1960s and ’70s, the Church of the Epiphany in Los Angeles’ Lincoln Heights neighborhood served as an important base. Over the decades, many Central American worshipers joined the longtime Mexican American members, and today the congregation’s leaders still advocate for social justice. The Rev. Tom Carey, a diocesan priest who has led the church for the past 12 years, stepped down in June; we spoke with him shortly beforehand.