The most important aspect of self defense striking is your mind. There are 3 levels of altercation with varying subclauses and ones aspect that you apply varies for each:
1: run, its not worth it, escape is possible and desirable.
2: its dominance display, give or take a beating and go home. For this, your sport training of angles, timing, movement are all paramount, the psychological battle is similar to the experience of stepping into a ring/cage for a sanctioned fight.
3: This is IT. There is no where to run, for whatever reason, prospects of jail or damage incurred do not factor, winning is all important. It's life or death. In this instance the training and approaches you have for the first two will actively work against you. You must be utterly convinced of your victory, you do, in every moment the most hideously effective possible action, you are that action. The prison yard rush is a good example of this. Only if the defendant is of exactly the same level of commitment, and or, is vastly more skilled than you will they prevail. It is a rare skill to be able to throw that switch but it is the most effective self defense tool, you just don't want to have to use it.
To get all samurai on ya, its a case of accepting your own death, being pure action with one goal and something that translates as 'stealing their soul through their eyes' (communication of your intent, filling them with a sense of their impending doom).