We have seen Judge Roberts in action before.
It seems to me that if this court falls under the Executive Branch, then the head of the Executive Branch (the President) could simply tell these folks to stop screwing around and answer the letters.
I don’t see what’s so hard about this. Is this Judge attempting to suborn perjury? Does she want to hear the famous words - you’re fired? Better still, your Honor - there’s a Marshall here with an arrest warrant with your name on it.
I’m sure it pales in comparison to the “in action” tapes they are blackmailing him with.