I play my guitars through a Marshall dsl50 tube head through a 1960a cab. I also use a visualsound (Christian company) jekyll and hyde overdrive as a boost.
I have been doing a LOT of hillsong stuff for the last year or so too.
I have been doing quite a bit of Jeremy Camp with my band also recently. I would suggest you check him out as he has some amazing worship songs.
http://jeremycamp.com/home.html
if you go to "tunes" you can listen to clips. my favorite CDs are "restored" and "carried me." By the way, the song "My Desire" on the "Restored" album, my band will most likely be doing this Wednesday for our chapel at school.
Anyway, for guitars I too have been using my strat primarily at church. I will be getting the aforementioned guitar (hamm hls1) though soon, so that is why I am asking about the humbuckers.
I think your suggestion for the JB/Jazz combination I will go for. I think that will be very suitable for me and give me a lot of versatility. Thank you very much! God bless!