Peace, is based off of everyone being satisfied. As long as people feel inadequate, underminded, etc. We as a race will not be able to have peace.
Really everyone wants equality, however they way or society and life it self is set up, it impossible for there to ever be equality, communism tried to create an truly equal system if failed.
There must be some type of hierarchy for society to survive, and as long as we have that we can't have peace, as that would require everyone to be satisfied.
Conflict is genetically wired into every living organism.
It's really quite simple - the creature typing this message (me) is a means to an end - for the self-replicating molecule within me to continue to propagate and explore means of more effectively propagating within its environment.
Functionally, we are slaves to genetics. Every facet of our physiology and every facet of our behavior has been shaped by the end goal of reproduction.
"Peace" - as humans tend to think of it, is a useless concept that cannot be attained outside of a hive-mind (where the individual is given only as much consideration as you give one of your cells). Why an individual organism would seek such aspirations is beyond me. Before anything, I am me.
When not alligned for purposes of survival, every human being is in competition with every other human being.... with two exceptions - a sexual partner and the offspring that result from that. Because of this fundamental principle - there will always be conflict amongst humans. "Drama" - micro-politics - 'he-said-she-said' ... all a natural product of genetic wiring. It's in our nature to form alliances, to deceive each other (hell, that is precisely why humans are one of the only animals that have 'stealth ovulation'), etc.
That does not mean it is, at all, the most functional way to live - but it is a way that is effective within our society. The guy that impregnates your wife gets kids taken care of within the social status you afford, thinking it is your own child (just look at how popular the concept of paternity tests are in the media accross all cultures - that is how fundamentally wired our psychology is toward the concept of valid paternity). Of course - thousands upon thousands of years ago, when women still had obvious ovulation cycles - the ones that had reduced signs of their ovulation were more likely to be able to reproduce with a male (since the males would attempt to hoard - possibly with lethal consequences - females to keep other males from having the opportunity). This has created a sort of 'arms race' - where men develop defenses against other men, and women developing ways of keeping men in the dark about who the father of a child is (or, rather, keeping her legitimate partner convinced he's the father).
This is partly why men are so easily drawn to pornographic material - the sight of another man with a woman will cause him to ejaculate a considerably greater amount (this also provides a possible explanation for certain fetishes - such as cuckoldry). Further, the last portion of a man's ejaculate is, in reality, a spermicide designed to reduce the effectiveness of whomever comes along behind him.
It sounds a little pessimistic - but only through understanding the reality of a situation can we ever begin to take hold of it and control it.