That would almost certainly end up with the internet becoming one gigantic linkedin and everyone leaving it to flock to whichever underground 4chan-esque service pops up with a promise of pseudonymity.
That's actually how you kill the internet. This won't change people's minds. They'll still think all those "offensive" things. They just won't post them publicly anymore because of the social consequences. You'll never know what people are really thinking.
I prefer to know. I want to experience the full spectrum of humanity.