What minority might that be?
"A
Gallup poll conducted in May 2014 found that 55% of Americans support allowing marriage for same-sex couples, the largest percentage ever measured by the organization.
[14] The same poll found only 42% opposed, and 4% had no opinion on the issue.
A
Pew Research Center poll released in March 2014 researched support for same-sex marriage among Republican leaning voters in the United States. 61% of Republican leaning voters aged 1829 support allowing same-sex couples to marry, while only 27% of Republican leaning voters over 50 years of age are supportive.
[15] 52% of Republican voters aged 1850 support same-sex marriage.
[16]
A
Washington Post/
ABC News poll from FebruaryMarch 2014 found a record high of 59% of Americans approve of same-sex marriage, with only 34% opposed and 7% with no opinion. The poll also revealed that 53% of the population in the States that currently do not allow same-sex couples to marry approve of same-sex marriage. 50% of respondents said that the
United States Constitution guarantees the freedom to marry the person of one's choice, regardless of that persons's sex or sexual orientation. 41% disagreed, and 9% had no opinion.
[17] The same poll also found that 81% of people found that businesses should not be allowed to refuse to serve gays and lesbians. 16% disagreed, and 3% had no opinion. 78% thought that gay couples can be "just as good parents" as straight couples, while 18% disagreed and 4% had no opinion.
[18]"
http://en.wikipedia.org/wiki/Public_opinion_of_same-sex_marriage_in_the_United_States#Polls_in_2014