Bill,
As I can understand from some reading I did on the subject, you are looking at a "booger" of a situation. Nobody that wanted to have good sound in a room would ever build one like that, yet that is exactly what happens, then they want a super result, where you have intelligibility of speakers, singers, band, singers and band together, and one part a lot of people forget, is that the worshippers have a better experience and get more "plugged in" if they can hear themselves and one another, so you've got the most difficult job there is. Before you hire the acoustic consultant from out of town, there might be something you can try....Just off the top of my head, here are some things that won't cost much money and might help:
1. Try to get the band to play as quietly as they will, in a non-frenzied, controlled, recording-studio-like manner.
2. Don't run any instruments other than drums through the board....unless there is no choice. Want to reinforce sound, not make sound.
3. If you are processing the house with delay or reverb, quit. Do use some compression on the praise team vocals.
4. Lower the overall house level. I have been in some churches where it was more brutal in there than an Allman Brothers concert. That's nt worship, it's spectacle.
5. Consider signal chain integrity and look at the quality and engineering of your mics. I know everybody swears by SM 58's but look at something else like a Beyer Dynamic with a supercardioid pattern...you want something with relative fidelity that will not pick a lot of noise in the area...directional...that will reject both adjacent sound/noise/choir/band and also room acoustics.
6. Like one of the other posters said, selective equalization might be the key....that's when you call in the guys with the spectrum analyzers who do the room treatments, and I am suspecting you are going to have to do it because of the bizarre room characteristics and larger than life needs...but you might get it a little better in the meantime...
7. You probably already know this, but the MUSICIANS need to know it...they just need to play in tune on time and not worry about what it sounds like in the room...no volume creep, tone changes, etc. That is the sound guy's job. It is totally impossible for a player to know either what he sounds like in the mix, or what he NEEDS to sound like in the mix.
8. If certain instrument amps are problematic because of zeal run amok, put them suckers in a little isolation booth just for an amplifier and mic that...also, put the drummer in an isolation booth, or try to deflect some of the drums off of the hard surfaces behind the drummer...
9. Would it hurt or help to drop that cluster? Would the altar guild be up in arms??
God Bless and good luck with it...I feel your pain, and I ain't Bill Clinton...
Chuck