When we confront our anger, does this imply that we go ahead and confront the wrongdoers regarding their injustices?
Actually, no, this is not implied. It is best to work on your anger before approaching people who offend so that your communication is as reasonable, fair, and civil as possible. You can work on your anger and not interact with those who offend if their actions could be harmful to you. If you seek reconciliation, then, yes, you can first work on your anger and then approach the person.