I have to agree with the sentiment that Duke O' York mentions. This poll is probably premature - I would have thought a presidential poll or internal ministry poll regarding WHICH wonder to build would have been good to have as a precursor.
In fact, I don't think we should have any city build Bach at this time (doesn't seem to be a choice). Save those caravans.
I would suggest we get some of our mighty crusaders over to that Roman city and kick some Ceasar butt. Take that city and Astronomy along with it. Then, use those caravans for Cope's in THDP. That'll teach them to brag about new techs that they get!
I have to think that we're the first civ to get Theology, so I don't think that there's a huge rush to get Bach's right now. I think we plan to stay in Monarchy for a little while longer, and really we don't seem to be having a lot of happiness issues right now. Hey, I really like Bach as a wonder, and the universal effects will be great, it's just that there is more pressing business - especially as others have started to build Cope's.
If we can get Astronomy as I mentioned, and relatively quickly, I would hope that the AI would have to abandon their projects with nothing left to switch to (though I'm not sure if either civ has feudalism and could switch to Sun Tzu's). It would be nice if they had to waste some shields.
Well, that's how I see it.