If this is really the problem conservatives claim it is, there's a simple solution: Get a backbone and delete your social media accounts. Most platforms (unlike HN) provide account deletion functions (though some keep them well-hidden).
Tom Cotton's editorial was not run in social media. This is much, much bigger than social media. Also, do you understand that you're advocating self-censorship? How is that a positive development for a liberal democracy, when large swathes of the population just remove their voices from the public debate out of fear for the "shoot first, don't ask questions" social justice mob?
You call it self-censorship. I call it opsec. In case you haven't noticed, we don't live in a "liberal democracy". We live in a police state, where anything you say or write can be held against you, and you're lucky if it happens in a court of law.