Are the religious factions independent of (and possibly opposed to) the guilds? Or do the religions overlap/contain one or more guilds each? This brings to mind Crusader Kings (and real history) where the game could easily become not a war between kingdoms but a war between religions (the Catholics, "heretical" orthodoxies, and Islam when the Crusades came about) where the religious leaders themselves were effectively in control of each kingdom.
Or is religion just back story or the justification for various classes to have magic powers?
ADDENDUM (after seeing your most recent post): so does each religion have a control structure (a group of leaders) attached to it? Or do you mean to eschew that part?