There already is one, called "Transforming Congregations" - http://www.transcong.org/ . While originating and working within the United Methodist denomination, TC ministers to the sexually-broken, with an emphasis on homosexuality but not limited to that.
Our organizations have worked together for years to keep the UMC (more-or-less!) on the right, scriptural track as that relates to homosexuality, abortion, and "sexuality" issues in general.
Good to know, thanks.