You know I don't have any at the moment, but I always had more than one rooster at a time in my layer flock. The ones that were raised together were the best at getting along, but adding new ones usually worked out too. The nasty ones usually were aggressive to people, so they didn't stick around long. It helped to have one main dominant rooster that kept the junior boys in line, and he had a Lieutenant too. Big Red was a cross-variety Wyandotte, extremely good with managing the flock, so I kept him even though I wouldn't have bred him. It did take three or four before I found him.
I think at one time, I had seven or eight full grown roosters in the pen, and things were OK. When I'd turn flocks out of breeding pens to rotate others in, things would get a little fractious for a while, but they'd settle it out. I only ever saw blood if a rainy day kept them all confined too closely in the coop.
Your two should be fine.