Many people hope that free ranging will let them keep more chickens than they have space for in the set up. And it will in the summer, kind of sort of. In the summer, most of the 24 hours is daylight, and the birds are mostly outside. However in the winter, at least in the northern hemisphere, most of the 24 hours is dark and they spend the time cooped up. Mine are generally headed to the roost by 4:00pm and not coming off until very close to 7:00am. Those are the times that free ranging will have no real affect on the temperament of the birds. The space inside the coop is the limiting factor. They will fight to be in the coop.
As mentioned, and you are aware, you have too many roos. However, I would also like to point out, that part of your flock is not full grown either. As they reach full size, they take up more room.
Mrs K