Appeals to majority do not make sense when it comes to fundamental human rights; we have a Constition for a reason.
More concretely: majorities of Americans once believed that African-Americans could be someone else's property or that a trans-woman is somehow not a woman. Thus this would not be the first time large numbers of (mostly old, white and privileged) Americans placed themselves on the wrong side of history by opposing logic, facts and basic human decency.
http://www.foxnews.com/politics/2015/12/18/fox-news-poll-vie...
https://theintercept.com/2016/07/07/donald-trump-backs-off-m...