Philosophically, we could say that prejudice is the conscious negative associative towards anything defined as a unique entity - ie. itself. If you take this and strip it down more, you could claim that anything defined as itself is at odds with another thing, purely because they are not the same. However, negative association is the kicker. Then we have to look at the way they interact. Generally, one entity will conflict with another (due to differences), creating a paradigm of conflict. Conflict is a negative force, and the law of non-contradiction applies. Because you are not ME, we will be at odds. We can never fully agree, because we are not the same thing and therefore we cannot be together. Therefore, prejudice is not so much an active thing, but a by product of different entities.
What this looks like in the world is racism etc. So, we can moderate it as such by destroying anything that is not the same - i.e. have a purely white nation, BUT once conflict arises in that, you would have to keep pruning until the only person left in the world was you. THEN apply this to EVERY entity and you have a person at odds with the world. You may not LIKE carrots, therefore you will be prejudice and NOT eat them. As a result of this, hypothetically you will slowly ignore or destroy things that are of no use to you (or be "prejudice"). You would do this until you only had things that please you. Now, if you use something that pleases you, you become bored of it (which is why we don't eat chocolate for every meal). We would want different things. You can apply this theory until the only thing left is you, existing alone in an unknown environment. If we want to go super theoretical, you could stipulate that your decomposition and death is a product of you being at odds with the natural world. In the end, you die. IPSO FACTO no. Prejudice will never end.
Of course, you could go the sunnier, less meta route and say that tolerance is an ability and while you may not be happy, you won't actively discriminate. Then yeah, I guess, but again, in a perfect world.
Anyway, this isn't cynicism, this is the reality of the world. Do you think humanity had these types of discussions in one form or another in neanderthal times - think so!