You're certainly correct that everyone has beliefs beyond rationality. The notion of "live and let live" is less reasonable when it involves controversial topic

You're certainly correct that everyone has beliefs beyond rationality. The notion of "live and let live" is less reasonable when it involves controversial topics such as how induced abortions or rapes are treated. A multitude of moralities can lead to people feeling like they just can't live their lives without ensuring the "other" won't quash them. Maybe they're right on a given case, or maybe they're wrong. There's conflict all the same.