Laura Loomer is suing CAIR and Twitter. She alleges that Twitter improperly deplatformed her at the behest of CAIR. Here’s her complaint.
One of the lawyers representing Ms. Loomer is Ron Coleman. He recently successfully represented The Slants in their First Amendment case (Matal v. Tam) before the Supreme Court. He also was one of the lawyers who successfully represented Patrick Frey in the Kimberlin v. Frey RICO Retread LOLsuit.
IANAL, but the breach of contract claims being made against Twitter based on its unbalanced use of its Terms of Service to silence certain kinds of speech would have been the approach I would have taken against them if my account had not been restored after I had been permanently banned.