McCoy was one of four Democratic legislative sponsors of the 2009 Common Ground Initiative, the most expansive legislative push for gay rights in state history. The drive, crafted in response to statements by the Salt Lake City-based Church of Jesus Christ of Latter-day Saints, which has indicated that it does not oppose some rights for same-sex couples, includes creating a statewide domestic-partner registry and protecting someone from being fired or evicted for being gay. McCoy's Common Ground bill would have amended state law so that financial dependents – besides spouses, parents and children – could sue if a breadwinner suffers a wrongful death. The measure would have benefited same-sex couples, but also other nontraditional households, such as one in which a grandmother relies on a grandson for financial support. It died early in the 2009 Legislature when it was voted down by the Senate judiciary committee, led by Republican Sen. Chris Buttars.