 In 2002 Heritage of Pride renamed New York City's Lesbian and Gay Pride events to the Lesbian, Gay, Bisexual and Transgender Pride March, Rally, Festival and Dance.Together with transgender activist Pauline Park, Lambert formed the Coalition for Unity and Inclusion in 2000.The Coalition was the lead group that successfully lobbied various New York City LGBT-related institutions to make their names more inclusive, including New York City's Lesbian, Gay, Bisexual and Transgender Community Center (formerly the NYC Lesbian and Gay Community Services Center) and the New York Lesbian, Gay, Bisexual, & Transgender Film Festival (formerly the New York Lesbian and Gay Film Festival).