In Evangelii Gaudium Pope Francis reminds us that we still have credibility in the world.
65. Despite the tide of secularism which has swept our societies, in many countries – even those where Christians are a minority – the Catholic Church is considered a credible institution by public opinion, and trusted for her solidarity and concern for those in greatest need. Again and again, the Church has acted as a mediator in finding solutions to problems affecting peace, social harmony, the land, the defense of life, human and civil rights, and so forth. And how much good has been done by Catholic schools and universities around the world! This is a good thing. Yet, we find it difficult to make people see that when we raise other questions less palatable to public opinion, we are doing so out of fidelity to precisely the same convictions about human dignity and the common good.
Unpopular stances, like on abortion or modern economics, are a tough sell even within our own family.