The way i look at projection:
"Psychological projection is a theory in psychology in which humans defend themselves against their own unconscious impulses or qualities (both positive and negative) by denying their existence in themselves while attributing them to others. For example, a person who is habitually rude may constantly accuse other people of being rude. It incorporates blame shifting."
I think in this context^, for these impulses or qualities to exist, the human has to act on them as well.
Just for clarification, you can have a good or bad judgment based on things that have not happened to you, like murder lol.
I think that having a notion of bad and good is a very important aspect of your personality. I have been intentionally integrating it in me over the last few years. It makes sense to have such subjective bias and i think you should be negatively effected by things that make sense to you to be perceived as bad. What you can question here is if it makes sense for these subjective things to be important or even perceived as good or bad at all.
You can perceive things as good and as bad, but not people as good and bad. You can see one characteristic of them as good or bad, one behavior, one action, etc. Based on what they show overtime, chronically, you can make an assessment of their overall character and if they are worth something(and what they are worth) according to your subjective believes. And i think this is a good filtration system, if you make your notions for good and bad based on something that will improve your life(which is also subjective). Of course, you should not take it too extremes, imo, just rise a flag, unless the flags are so many that an extreme reaction is necessary.
I do not think you are both of those kind of people(the good and bad parts you imagine). If you can identify a bad behavior in yourself, then you can work towards terminating it. And once, because you can do it, you terminate it, you are no longer that kind of person. To do this, you have to accept you have this behavior(or characteristic) first ofc, only then you can work towards its termination.
At the same time, you do not need to kill people to think its bad to kill people, so you are not that kind of person, while thinking that this kind of person would have a bad trait(the killing of people lol).
This is why i said this sounds like projection, because i do not think everyone who think negative(or good) things about someone, must be projecting themselves(according to the definition i quoted at the start of this post).