1. Is McMurphy the best representative of a do-good individual?
Not really due to the fact that his main motivation is to win over the tyranny of the Big Nurse. His judgement is also questionable at times.
2. Was McMurphy more focused on his battle with the Big Nurse or with the well-being of the other patients?
I think he was definitely more focused on battling Nurse Ratched. If he really wanted to help the patients, how come Cheswick and Billy both end up killing themselves? Had he spent less time fighting Ratched, he may have been able to save them.
3. Does McMurphy's heroics make Chief look like less of a hero?
Yes due to Chief's intentional inactivity. He has the opportunity to be a hero with the mental capacity he has, but chooses just to fade into the background for the majority of the story.
4. Could Chief had become a true hero if he hadnt killed McMurphy and ran away?
I would say no because of Chief's relative seclusion from the other patients. That would've made it difficult for him to unite with them.