Differences in Personality
At first glance, it seems odd that two groups with near identical abilities and methodologies seem so different in their respective personalities and outlooks. Of course, you could say the same thing about Mercurians and Impudites, or Lilim and Bright Lilim. What differentiate the Choir and its mirror image (or the Band and their weak cousins) are the attitudes they inherit from their respective creators.
Merry Pranksters come from Janus, and wholeheartedly embrace his belief in the positive benefits of change. They see the Symphony as a beautiful dance of possibilities that creates itself anew every second: they're just the facilitators for particularly beautiful moments. Every Merry Prankster must watch him or her self for the temptation to get too caught up in the process, at the expense of mortal lives. But if they can resist the addictive call, they can be some of the Symphony's strongest supporters.
Randomizers, on the other hand, are spawn of Valefor, and have absorbed completely his attitude that the world is here to be played with. Randomizers are quite fond of the universe, really: it quivers like an eager lover under their touch, allowing them to create the loveliest tableaus. The universe gives them everything they want, including mortals. Randomizers prize mortals like any good artist prizes his audience - or raw materials. Killing the very best of them only cheapens the breed, and thus should be avoided. Unfortunately, while this "liking" is usually superficial, a Randomizer always runs the risk of actually liking the talking monkeys. But the risk is worth it, for the ability to repaint the cosmos to your vision is too glorious to give up.
While both Merry Pranksters and Randomizers consider the other abject fools, of course, there is one thing that they agree upon: the Final War is a bad idea, if it means the end of mortals. This can lead to some interesting situations, where both Choir and Band work to keep Armageddon at arm's bay (bitterly arguing with each other all the while). It's suggested, in fact, that one reason that there hasn't been a nuclear exchange since 1945 isn't completely due to human sanity, or Lucifer's/the Seraphim Council's refusal to allow one. The real reason might be because every existing nuke on the planet was quietly rendered inoperable, soon after creation, by the oddest set of circumstances…