An opposite example which I think is an interesting case of a conservative religion fuelling something seen as progressive. Utah was an early adopter of women's suffrage in the US - only Wyoming granted it earlier, but Utah women were the first to cast ballots. There was actually a heavy push for women's suffrage both from opponents of polygamy (it was assumed that women getting the vote would cause an end to polygamy) but also from Mormon women themselves.

After the repeal of women's suffrage with the Edmunds-Tucker Act, a Utahn women's suffrage organisation was established by Emily Richards in 1888 with the support of the Mormon church. There was an interesting struggle between the right to vote and the right to polygamy, with many Mormon women wanting both. Opposition to women's suffrage within the wider US actually often cited Mormon support as a reason not to be in favour of it....! Interestingly, Trump's anti-Muslim stance was controversial in UT because of religious freedom issues (and yet look at Prop 8!), so I think perhaps Mormonism and political causes would be a fruitful avenue of research here.

Sources:

*Beeton, Beverly (1986). "Women Vote in the West: The Woman Suffrage Movement, 1869-1896."

*Froiseth, Jennie Anderson (1886). "The women of Mormonism Or, The story of polygamy as told by the victims themselves."

*Gordon, Sarah Barringer (1996). "The Liberty of Self-Degradation: Polygamy, Woman Suffrage, and Consent in Nineteenth-Century America"

*Clark, Rebekah Ryan (2005). "An Uncovered History: Mormons in the Woman Suffrage Movement, 1896–1920"