I've heard some absolutely stunning recordings with the CA mics -- jerseyboy did lindsey buckingham in philly back in 06 or 07 that was breathtaking, and a couple of baker's springsteen recordings are fantastic (foxboro '08 is great). but sometimes, to me, they sound too bright bordering on harsh -- jerseyboy's version of the who in philly last october sticks in my mind. i think his set up was the same, but a completely different venue and a very different sound.
i still tend to favor the AT943's or 899's or whatever the model currently is for their small body modular mics. i find them to be a little more transparent or neutral than the church audio mics. you can make them into 3 wire with mini-XLR with a 3 wire power supply and you don't have to worry about brickwalling or bass overload. also, you have a flexible set up as you can get omni, cardioid and hypercard caps for those mics. you might be able to do the same with the church mics; not sure.
you can find the AT's or the church audio used in the yard sale all the time. from what i've heard, chris stands behind his stuff whether you buy them new from him or used here. sound pro, not sure what their guarantee is these days on the AT's, and whether they care about them being resold. bottom line, getting a power supply with either set up will get you really nice results and will be an upgrade for you.
good luck!