Hard to say. I hope they play.
All they need to do is air the facts. Let Taitz have a copy of the BC and let Abdallah Hussien prove her an idiot.
Orly doesn't realize it, but the question of Obama's eligibility is not one she can even raise in this Petition. Her client dropped the case (and fired Orly as her lawyer). The only issue Orly can appeal is the sanctions award against her, and she was not sanctioned for bringing the eligibility suit-- she was sanctioned only for falsely accusing the judge of misconduct in her motion for reargument (she accused the judge of secretly meeting with Eric Holder, on a day when Holder was in Los Angeles and the judge was in Georgia).
The only issue the Supreme Court would have jurisdiction to rule on, if they did grant certiorari, is whether Orly's accusations against the judge are sanctionable. They clearly are, so the Court is no way going to hear this case.