It is not associated with christianity. It is associated with Christ. There is a very big difference between the Truth and the doctrines taught by people. I would advise that you forget religion, tradition, and opinion entirely. As per the previous link, Edgar Cayce's readings propose that the Christ Consciousness is the awareness of the soul's Oneness with God (the Source) that is imprinted on the mind in pattern and may be awakened by the Will as exercised by that soul. "Christ" is not a name, a thing, nor a person. You will be "Christed" when you are able to fully realise your inherent Oneness.
The Christ experience doesn't involve changing to become something else. Becoming Christ is only realising what you have been all along. It is your most fundamental nature. This state of being has been called many names at many times. There is only one important difference when we use the word "Christ" instead of enlightenment, Nirvana, or any other such term: The Way of the Christ has been fully perfected.
Because it is our nature to seek and find our own Oneness with the One, there have always been those who could reach a spiritually heightened state of awareness. It is only in Christ, however, that we may become fully perfected and companionable to the One. The Son of God who was Jesus was also many others throughout time and space. He has shown us the Way over and over, making steps toward the Light through each generation visited. His life as Jesus was the culmination of this process. Only then did He say, "It is finished."
I'll try to keep this as clear as possible. The One Son of God is the One Soul, the only Soul that exists. From this One Soul grows all individual souls. We are the manifestations of the individualisations of that One Soul. This is why the Master, our very foundation, has been making steps toward the Light throughout the ages. When He goes forward, we are destined to go with Him. This is also why we could never supersede Him and make ourselves first. One of your liver cells cannot claim the heritage of your whole body. When He perfected the Way, as Jesus, He both made it possible for us to follow and destined us to do so. All who seek the Kingdom in any other way will not find it.
This is not to say that anyone must have any particular beliefs in order to follow. In fact, well attuned people have to try pretty hard to not follow. It's about ideals, not ideas. It's about everyone gaining through Love, not the few gaining through manipulation. He gave only one new commandment: "Love one another as I have Loved you." Because of this, I must say that the presence of Love in a person is evidence of the presence of God in that person. As Paul said, though I might have everything else a man could have, if I have not Love, I have nothing.
Christ is the reason that the ages change. It is our Oneness with God that we seek. We all want to make ourselves greater and rightfully so. We are the children of God. That is why we must seek to be like our Father, rather than make quick illusions to fool our brother into thinking we are greater. Actually, I have been pondering lately the very notion of "property." It seems that the only time when no one "owned" anything was before the advent of mankind. At the advent of man, it seems that we were in a state in which everyone owned everything. There has always been enough to go around if everyone were to give what was needed. Taking something even though someone else might need it is "ownership." This makes it frightfully apparent what Jesus meant when he said that, "...It is easier for a camel to go through the eye of a needle than for a rich man to enter the Kingdom of God." As long as you have property, your property has you, and it doesn't let go easily.