I just finished my first game as the Elohim on Monarch difficulty. It was my first try at Monarch, but I managed a cultural victory in year 510 (normal speed). They seemed really "normal" to me, almost like the default civilization for FFH. I shared a continent with one friendly neighbor and only fought one limited war on the far continent, so the monks never really came into play. By the time of the overseas war, I was using macemen and heavy crossbowmen.
I did really like the Elohim national hero - he was the key to defeating Acheron, who appeared right next to my capitol and was my biggest challenge in the game. In fact, if Acheron hadn't popped up where he did, I probably would have eliminated my nearby neighbor instead of befriending him, eventually becoming much, much stronger. As it was, by the time I killed Acheron my neighbor had converted to the Order (which I founded) and was my bestest bud in the whole wide world, so I didn't feel the need to assimilate him.
The Hallowing of the Elohim ritual was useful. I used it twice to keep the Armeggedon counter below 10 so that I could ensure a peaceful world and focus on my peaceful victory.
When I started the game, I had hoped to bring in Basium and switch, but Hyborem never appeared, so I couldn't build the Mercurian Gate. My investment in religious techs was a waste, too, as I never had incense (only like 2 sources in the whole world, and the owner wouldn't trade). Oh well, that has nothing to do with Elohim in particular, and is more about the scarcity of incense. Pretty funny, really, as I founded the Order and owned the holy shrine to the most widespread religion in the world, but I couldn't build an Order priest
Overall, I think the Elohim are probably best if you want a peaceful game where you pursue a cultural, altar, or tower (yeah, right) victory.