If you're willing to butcher and eat chickens, then that is a very effective way to solve the noise issue.
I wouldn't worry much about whether you're angry-- if you have thought about reasons that you might want to keep those birds, and have decided that the crowing isn't worth it, then just go ahead. (How you feel has no effect on the bird, as long as you kill it the same humane way in any case.)
If you're still not sure: think about what your long-term goals are, and how these cockerels do or do not help that. If you want a coop full of roosters, or you want to breed specifically from them, you make one decision. If you want quiet backyard pets, you might make a different decision. More than a certain number of roosters can sometimes be hard on the hens, too, so you could consider how many hens you have.
And butchering the louder one while keeping the other one is also a perfectly reasonable solution.
Which is all a long way to say that there are many good answers, and I don't know which is best for you