They've got muck; we've got rakes. TPM Muckraker
We don't know what the Supreme Court will do. It's a strange case -- as the Ledger-Enquirer, which has been following the case, pointed out, the way to appeal to the Supreme Court is via a formal writ of certiorari, not an application to stay.
Taitz is doing whatever she can to fight the fine. She's gone so far as to ask Chief Justice John Roberts to verify that it is really Thomas' signature on his denial.