For most people, anxiety is normal when getting sober and will
typically go away within a few weeks/months, however for some people the anxiety sticks around or is a symptom of underlying mental health issues. Many people begin drinking to find relief from these more serious anxiety issues.
Just wanted to give a disclaimer, because if you get anxious or have anger problems and they
don't go away after a period of time I would encourage you to see a psychiatrist and/or a therapist, as these symptoms may be able to be controlled using safe medication and through counseling.
Best wishes -- no matter what you do, don't let the fear keep you from quitting!