I’m confused ... a case # is shown .. is this
an actual case on Judge Lamberth’s docket ?
Yeah. From the MOTION it say's "Case 1:10-cv-00151-RCL"
Sort of.
A quo warranto case can be filed by the U.S. Attorney for D.C., or by the Attorney General. Anyone else must ask the Court's permission to file a quo warranto. Orly filed a Petition for Leave to File a Quo Warranto, which was assigned a docket number. That Petition hasn't been ruled on yet, but Orly is filing motions as if this were an ongoing case, which it isn't yet. I predict the motions will be denied (as, eventually, will the Petition for Leave to File itself).
Yes. Can't throw a case out until it's been assigned to a judge.