I think this is the sort of board where whoever loses the Ambassador war will feel like they lost by a lot more than they actually did (that is, it's a high positive feedback board). That can happen as a result of bad shuffle luck, but it also means that how you play at the beginning will have a big impact on the outcome.
I don't like your Baron opening. You want to be getting rid of Estates (and Coppers) at the beginning. Not only is Baron not doing that (and potentially colliding with Ambassador), but it only does anything if you discard Estates, which you hopefully won't have for very long. I don't like his Mining Village opening either, but at least it's non-terminal and it's something you'll be wanting later, so maybe it's not too bad. I think you want to open double Ambassador though, because this is a big engine board that really wants a thin deck (no big draw, and both Conspirator and Menagerie really prefer to not have Coppers/Estates in the way).
Whoever thins down faster should have a huge advantage. After that you can buy a few Mining Villages and lots of Menageries and Conspirators (and a few Pawns for +buy), and probably one Militia. You might add Vaults if you're having trouble drawing everything. Jester is probably good too if you have room for more terminals. Really there's nothing on this board that wouldn't fit into the deck, except Baron.