Deathrite their PFires and sideboard Surgical Extraction, I opt for a full set. Extraction is so flexible and useful, I've been really liking it.
Also @Matt: If I were planning against those decks, I'd want 2x Pithing Needle in my sideboard.
Current sideboard:
2x
Ethersworn Canonist2x
Lingering Souls1x
Gaddock Teeg1x
Vindicate1x
Pernicious Deed2x
Pithing Needle2x
Zealous Persecution4x
Surgical Extraction
Just make sure not to NO with no dudes on board. Progenitus doesnt have protection from liliana!
Alternatively, I would drop the ZP's, Vindicate, and 1x LSouls for 3x Natural Order and 1x Progenitus. I think against Jund/Stoneblade, it's pretty damn good. A two turn clock does a lot to negate their ability to grind games out.