A few things:
1. One site access card usually isn't going to cut it against a site deck. You'll want to include Priestly Crown.
2. Seeing as you have no FA or GoYS, it seems like Lampstand of the Sanctuary would be perfect for this deck! For Priestly Crown and LoTS, you could potentially take out Mayhem, Burial (LoTS stops them) or Darius's Decree.
3. With Teal + Z's Temple, Joshua the High Priest is a must (CBN is what Teal is all about!
). Switch him in for Ezra maybe.
4. Filling Zerubbabel's Temple is a great card to get out Z's Temple quickly. Take out Phineas's Spear for it.
5. On the defense side of things, I would switch out Nebuchadnezzar's Dream for Nebuchadnezzar's Pride (interrupt + battlewinner? yes please!)
