The concept of integrity is directly linked to responsibility in that implementation spawning from principles is designed with a specific outcome in mind. When the action fails to achieve the desired effect, a change of principles is indicated. Accountability is achieved when a faulty principle is identified and changed to produce a more useful action.
Your actions do not seem to be achieving the desired effect, since you believe that you are righteously angry. Keeping trash out of your walk seems selfish and egocentric. I've never been told before now that I am or that I produce trash. You speak with an arrogance and cruelty that is unbecoming of a Christian.
So, I suggest that it might be time for you to identify and correct faulty principles. In this case integrity is only in your imagination.