All our male sheep are together in one field, adult tups, tup lambs, tup hoggs and wethers. There is normally no fighting at all. After tupping time, when they all come back together there is a bit of jostling and shoving, and the occasional clash of horns, but they have an established 'pecking order' which returns to normal pretty quickly. When new lambs, or older bought-in tups join the group then there may be a little bit of chasing and head butting for a while, but the top tup will put a stop to it. If not, then sheep do 'take a telling' ie clap your hands and shout at them to grow up and they will stop and wander off in opposite directions
You don't say what breed your tup is, but knowing Soays well, I would say that any aggression or squabbling will come from the soays not the tup.
There are ways you can reduce the chance of initial head butting, such as penning them all up together very tightly for a few hours, then feed them on release, then just let them get on with it.
I have just noticed that this will be going on with horses in the field. I have no knowledge of that situation.