I find it highly unlikely that clogged pitot tubes would take out all the static and gyroscopic instrumentation too. That would be a phenomenally stupid design, and would rank the Airbus lower than a Cessna 150 in terms of instrument reliability.
The information in the report is preliminary, and there has to be more to this story. Even the lowliest weekend warrior pilot earning the most basic instrument certification has to demonstrate an ability to fly in IMC with multiple instrument failures.
What I want to know is why the PF pulled the stick back to the stop with the stall warning blaring in his ear. There's no way an airline pilot would make such a stupid mistake—unless there's way more to this story than what we're reading in the preliminary report.