Probably should cull and if you want another rooster don't be discouraged, there are many good roosters out there. For future reference, mimicking the behavior of an alpha rooster is not something you should do. To him, that's a challenge. Aggressive roosters expect aggression returned to them...
I raise Jersey Giants. Blue and Black as well as Ameraucnas and Wyandottes. I also love my Dutch Bantams. Looking to add Welsummers to the flock next year. Five years into raising chickens.