This is how it's been done in the USA since 9/11. Data isn't subpoenaed (would getting into people's rights) it's just bought (no rights violation). Controls aren't from the government, they are 'implementing industry standards'. Want to silence someone? Deplatform them. Want to deny access? Flag them with an opaque trust score. No constitutional rights are violated.
Indeed, breaking up the too-big companies nicely solves several of these issues. It's much harder to deplatform someone if there are a dozen viable social media/video/critical Internet infrastructure companies, instead of just one or two.