Alan Noble as a very good piece in the Atlantic: Is Evangelical Morality Still Acceptable in America? He doesn't define exactly what he means by "Evangelical Morality" but clearly he is talking about people who hold more traditionalist views on a set of moral issues. Here are some excerpts:
"... Behind all of these charges is the suspicion that evangelicals are simply refusing to accept contemporary American mores; they are privileging their faith over the moral spirit of the age. But for many evangelicals, these beliefs are not actually a sign of retreat from public life. Instead, there is a fear that in an increasingly secularized society, there will be less tolerance for people who wish to act upon their deeply held religious beliefs, except in narrowly defined, privatized spaces. This is a fundamentally American concern: Will I have the right to serve God as I believe I am obligated to? ..."
"... To a large extent, this tension has been caused by a shift in what we think of as the domain of morality. The vocabulary we use to describe same-sex marriage and contraceptives has changed from the language of morality to the language of rights. ..."
"... Often, the Christian defense of what they believe is their religious liberty is framed as fundamental hatefulness, homophobia, and misogyny, rather than disagreement grounded in morality. Much to the shame of the faith, a few who claim to be Christian really are motivated by hate. Those who disagree with them see little point in engaging with them on these issues, which is understandable, but it’s unfair and counterproductive to extend that attitude to all evangelical Christians. If the evangelical worldview is deemed invalid in the public sphere, then the public sphere loses the value of being public. American discourse will be marked by paranoid conformity, rather than principled and earnest disagreement. And our ability to prophetically speak to one another and to our nation’s troubles will be restrained.
The right framework here is one of pluralism: the ability of many different kinds of people to live out their faith in public with and among those who deeply disagree with them. This is no easy challenge; it's painful and ugly and hard. But the alternative to is a thin, univocal culture, one in which the only disagreements we have are trivial. And that would be a shame."
I don't share many of the values to which Evangelicals subscribe but that is just the point. The issue is not how should I deal with people who have views with which I disagree. The measure is how would I want to be dealt with if I were the one with an unpopular view.