Eventually, people realize they will never agree and therefore don't have to fight.
They realize the majority of their beliefs already existed before they were born and will continue on after they're dead. They have nothing to add to the conversation while they are too busy fighting. They turn their focus to developing their ideas peacefully and let their subcultures flourish once again.
This isn't the first cycle and won't be the last. The last major cycle was in the 20th century due to broadcast media. I think people sometimes forget how relatively young the internet is.
"Live and let live" is in fundamental tension with "protect the weak." ALL aggressive ideologies act as heroes protecting others from oppression. There is a barely expressible thing that allows people to live in peace with those they disagree with. It is a personality trait, an aesthetic, a mood associated with the best of the Enlightenment but never described by it. Perhaps people need relative silence, a few good books, physical labor, hand-made goods, and slow travel to attain it. I often wonder at how boldly people think they can reduce the enormous, holistic experience of being of a particular time and place and call the effect simply "reason".