You arrange and deploy everyone in pairs with a designated third person on support. You can also bring in a second group on top of your support but you must have said group within close proximity to the attacker.
Basically it's like how they did it in Endless Frontier where you have your attacker using moves while burning turn points, then after your first attack you call in a support attacker to add damage/build combo/fill finisher meter at a cost to their turn points, then you use your second attack for more turn points, then you call in another support attacker to do the same, and so on until you run out of either turn points or support attacks at which point you then call in the next attacker to further build the combo/damage/finisher meter, and after you feel like you've ratcheted the numbers high enough you bring down the finisher.
And you hope to god that during none of the above proceedings does the enemy pull out a forced evasion to bullshit their way out of that delicious combo you just dumped a mountain of resources on (or they do it early so that you only get cockblocked for a turn or two instead of the rest of the fight).
Umm there is no non-tactical combat layer in SRW.. the animations are for show only. Think you kinda missed the point there.
A better comparison would be SMT: Devil Survivor, which also has two layers of combat. It seems like Devil Survivor keeps the tactical layer far more relevant and strategic rather than serving as a relatively bland setpiece for units to get into cross brawls or whatever you want to call them. Just my impressions after watching gameplay footage, reading impressions on gfaqs, magazine leaks, and what not.
Still doesn't change my point that there really isn't another genre that lets players field more than like four or six people at once beyond SRPGs. And unfortunately, I've heard similar impressions about the lackluster tactics. This game will most likely be Namco X Capcom all over again, up to, and including, all its flaws (i.e. late game becoming unplayable due to fights taking forever since you have to chew through wave after wave of mooks like an SRW game).