They did nothing. Apparently hoping the problem would go away.
It does not take a very smart lawyer to figure out that when someone ignores a judges subpoena for months and months on end, the judge gets ticked. It does not surprise me that the judge then issued a search warrent.
The rational of legislative privilege stems from the founders fear that an evil president might threaten those inclinded to vote against him with felony indictments. Thus the reluctance to allow such actions to be taken. But this was not out of the blue. This has been on the back burner in the house for months and months. The house could have taken legal means to contest the court rather than just ignore the court.
It is a long standing legal principle.. Don't answer the subpoena and you are toast.
In this day and age I can't imagine a court ruling that a combination of corrupt president and corrupt judge would be able to intimidate members of congress. Such a president and judge would be impeached and convicted with in a heart beat.
On the other hand I can't see a single justice of the supreme court allowing this very nebulous legistlative claim to power be used to get a crook off who was caught with $90,000 of marked money in his refrigerator.
And btw, it's good to "see" you. Haven't bumped into you for a while.