Let's try to compare Wind Bind to Gotei 13.
Inks (Magic Circle Corps)
-Probably closest to Squad 9; Security Force.
Anthems (Incantation Corps)
-Probably cloest to Squad 5; the talented bunch.
Sacreds (Liturgy Corps)
-This is probably like Squad 4; Healers
Pipers (Minstrel Corps)
-The corps where our protagonists belongs. It seems like they are second fiddle to Sabres.
Sabres (Tactical Corps)
-Probably closest to Squad 11; Direct Combat.
Patchworks (Development Corps)
-Probably closest to Squad 12; Science, Technology, Research and Development.
Billionaires (Accounting Corps)
-Squad 2; Stealth Force - since they act as couriers? lol
Gallows (Personal Affairs, Divine Punishment Corps)
-Probably closest to Squad 1 or 0
It's probably going to be hard to do comparisons for these Corps and the Divisions as there is an entirely different culture between the two groups. The only three that resembles the actual Squads in terms of Roles are Gallows, Sabres, and Patchwork.
Inks likely specialize in ritual magics and related spacial stuff. I imagine they provided the Barrier Tape that Ninny used.
Anthems probably specialize in spells in general or the details that go into their invocations.
We need more information on how their world works, but Liturgy implies that there is a religious aspect of their culture and Sacreds oversee the worship.
Pipers, as stated in series, are the group that deals with Dragons non violently and harvest them. Likely an allusion to the story of the Pied Piper.
Billionaires are the ones who probably deal out the points, achievements, and payment. I wouldn't be surprised if they also kept tabs on general performance and pass the info on to Gallows.
Sabres, yeah, they are definitely the combat group who specialize in taking down Dark Dragons. Ninny wanting to join them to fight and the broadcast warning make that clear.
Patchwork is also likely similar to the 12 Division. Their motif also resembles a number of Bleach characters, like Senjumaru and Urahara's Bankai.
As for Gallows, Personal Affairs definitely imply that they make the major decisions, including Execution. Ninny wanting to look good for them just to get to Sabres imply as much as well as
Bazz B Bruno asking Wolfgang his thoughts on Balgo's situation.