Yes, Christians should care...
--about insulting others
--about innocent lives lost when strife is provoked
"Do not repay anyone evil for evil. Be careful to do what is right in the eyes of everybody. If it is possible, as far as it depends on you, live at peace with everyone....Romans 12
"But I tell you who hear me: Love your enemies, do good to those who hate you, 28bless those who curse you, pray for those who mistreat you. ...If you love those who love you, what credit is that to you? Even 'sinners' love those who love them..." Luke 6
"Dear friends, I urge you, as aliens and strangers in the world, to abstain from sinful desires, which war against your soul. Live such good lives among the pagans that, though they accuse you of doing wrong, they may see your good deeds and glorify God on the day he visits us....
"Live as free men, but do not use your freedom as a cover-up for evil; live as servants of God. Show proper respect to everyone..."
--1 Peter
Read Acts 17 to see how Paul talked to people who believed in fake gods...He did not burn their books, he quoted them.