In the old days you might not agree with your neighbor, but you had to live next to them. Now with the flick of a thumb you can denounce someone's entire existence before breakfast.
Even the bad boys of twitter, which goes right up to mobs of people trying to ruin peoples lives with death threats etc doesn't seem quite as bad as bombing someone's church for example.
Contrast to getting into an extreme argument with your neighbor could result in a physical fight, destruction of property, or death.
Ultimately, this is why I really don't want to see articles on Internet discourse dominated by "culture wars" topics; So little is at stake. I highly doubt mass tweeting and public shaming will ever have much power over anyone, or change national policy or thought. However, someone once told me though that the most vicious fights are often the pettiest, so I only expect culture wars stuff to be more common in the future.
It only has the power that we give it. Which is to say, right now it has enormous power, because employers fall over themselves to defuse any hint of controversy by firing anyone who becomes the target of a mob. And conferences un-invite people, and et cetera, et cetera.
If, going way back to 2009 or so, employers had stood firm and said "no, we're not going to waste our time policing what our employees say in their off hours, now go away" to the perpetually offended of whatever stripe, none of this would be happening. But they didn't, and it is. We need to reverse this state of affairs before we can afford to sit back and dismiss it as irrelevant bickering.