NAVRE, how is the cage placement with these 3 too's ? I'll bet if the males cage was placed between the Two girls cages he might settle down a bit especially if it was some what private without to many other squawking birds. My too's will all go off together where they have some privacy and play together or should I say destroy something together and be perfectly content . But when the macaws start in they get attitudes , agitated and go from the area of noise. I've had many years observing them interacting and they really seem to like calm environments unless there causing the commotion. Although there one of the loudest on the decimal scale I've found the calling to only be when they are excited or want something. At least when there happy and healthy.
Also I've found if the cages are close enough together a rope toy tied between the cages with a toy or a good knot on each end will allow them to play tug of war with each other and providing at least some kind of interaction between the birds while in there own cages. JUST A THOUGHT