When you say that they bring the monsters to you, do you mean they literally stack them on top of the healer, or just that they allow the enemies to walk toward them for a few seconds after they pull with a shield toss? The former is weird enough that I have never seen it in this game, while the latter is often a good idea (multiple groups in the area, group is spread out, wandering monsters, environmental hazards, et.

I ask because of the comment "when bringing us the mobs, the tank doesn't attack whereas the healer...heal, and the dps attack ==> the mobs could attack us in place of the tank" which is usually a sign that the DPS (and possibly healer) are messing up by engaging in the first few seconds instead of letting the tank actually establish aggro.