Over at Corner of Church and State, Tobin Grant has a couple of interesting charts showing which religious denominations and belief systems are most and least likely to accept gays and lesbians.
The source data are from 2007, but Grant colored the bars so as to show which denominations agreed with the ruling in Obergefell and which ones disagreed. This revealed a certain degree of democratic responsiveness, inasmuch as the organizations at the top and bottom of the chart made announcements which fell in line with the supermajority view.
Incidentally, it appears from the charts that my atheist friends have a way to go before they catch up on my UU friends, many of whom also identify as atheist.