Christians do care about promoting love and peace, but they also care about sharing the truths of God. When people live or speak in opposition to God’s truths, Christians are called by God to respond with His truth. That is often labeled as intolerance, but it’s not.
Professing one’s personal beliefs is still a protected right of free-speech. The same holds true for non-Christians. They have a right to profess what they believe. Although both express beliefs in opposition to the other, neither is being intolerant.
There will always be differing beliefs and therefore disagreements. How the disagreements are handled determines tolerance or intolerance. A person is intolerant when they are rude, unkind, aggressive, or take forceful actions against someone who believes differently. A tolerant person will speak and act with respect for the other’s right to believe differently. A disagreement is not intolerance.
Christians are called to share who God is and His truths that are found in the Bible without compromise. And they are always to do so with kindness and love.