If you want my opinion, you're not going to "solve" people, especially in the manner you desire. No has, no one is, and no one ever will. There are no philosopher-kings. Twitter is simply today's canvas for social and parasocial interaction. It is no different than the printing press, the landline, the radio, or the television was during their heydays. Throughout the history of the aforementioned mediums, there has been propaganda, polarizing politics, rumormongering, scandals, censorship, public feuds, self-righteous moralizing, pandering, and a bevy of other controversies.
Twitter as a "public square" will solve itself. It may become the greatest thing since the Athenian Agora. It may become another Usenet, WELL [1], or AOL/Compuserve. Or it might join thousands of other no-name services as it barrels into the trash-heap of social media history with its only distinction being a louder thud than all the others as it reaches its final resting place.
In the future I expect the social media or morality wars of the VR/AR era, should the Metaverse become real, to play out in a similar fashion, that is if seeds haven't already been sown on VRChat.