https://reclaimthenet.org/senator-mark-warner-misinformation-shouldnt-have-first-amendment-protections
While conspiracies like QAnon (which utilizes disinformation and malinformation[1]), which can take on multiple problematic themes, including anti-LGBT ones, can be troublesome, I would still caution against creating an "arbiter of truth", especially a government trying to push for this, and remember that strong free expression standards protect everyone's rights.
Also, consider whether it isn't platformization[2] which is troublesome here.