They probably just thought they were being too subtle about Fei being Jesus. Wouldn't want it to get lost in the shuffle of the Id business, you know.
(You can almost kinda justify it in context, but this is the most favorable interpretation I can come up with from a meta standpoint. In other words it's just kinda a silly choice, though the rest of the scene is fine!)
That said, if you've gotten to CHU-CHU DIED FOR YOUR SINS... right, gimmick boss time. Gameplay Spoiler!!!!!! don't attack the second boss until you've healed up, her entire strategy is to power up for five turns then unleash one big MT attack, repeat. She powers up when you attack her... if you haven't attacked her yet, she'll fail to break your defense. Only works at the start of the fight, but invaluable because the preceeding boss is a resource-sucking whore.
SMT Devil Survivor- Neat. The way it handles extra turns is probably the most elegant I've seen? Although it feels slightly random at times (in particular, I'm not sure if speed determines initial odds of getting one or if it's purely a matter of luck+initiating attack.)