Stallions do not live every minute primed for a fight. When you introduce another horse into the herd or area he is kept in then you have his undivided attention. Proper training and handling though keeps his attention on the handler.
I only use rope halters and can walk Star through a group of mares or geldings.
He prances and talks the whole time but never tugs on the lead rope or attempts to mount or fight a horse. Even mares in heat squirting and swinging their tails toward him.
I would never keep a stallion that I could not handle safely. There are those that are not trustworthy. IMO that is a rarity not the norm.
I do know every move Star makes when I am handling him but that also applies to every mare and gelding that I have ever owned. Shalom