It sounds like a mild form of misophonia, but I'm not a doctor and this is the Internet, so I can't say that with 100% confidence. I have misophonia, but every case is different and many doctors barely even know what it is. Your reaction sounds a lot like mine (my main trigger sounds are sniffling, breathing noises, and snoring), but I get angry pretty fast over it, though I don't do anything violent. Today, I ate lunch in the dining room instead of the kitchen because my brother has a cold and I can't listen to him sniffle. Anyway, if you think you have misophonia, chances are that you do. Here are some websites you can visit for more information:
http://abcnews.go.com/blogs/health/2012/05/18/safer-for-misophonics-2020s-misophonia-coverage/ (This is the episode of 20/20 that made me aware of the condition. These people featured have severe misophonia, so don't think yours has to be as extreme as theirs to count.)
http://www.misophonia-uk.org/index.html
http://misophonia.com/symptoms-triggers/
Knowing what your condition is may give you some comfort, but it ultimately won't help alleviate your suffering. There is no cure for misophonia, though there is a new treatment called Cognitive Behavioral Therapy that may or may not help. It's probably expensive though. If you feel that you need it, regular therapy (counseling) might help, too. Mimicking the sounds helps some people, but I know you can't always do that. Really, the best thing to do is make sure you're not angry or upset all the time due to other things, so that misophonia doesn't make your reaction to the sounds worse. Meditation has helped some people. Anything you can do to de-stress or get away from the sounds will help you.