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The early centers of Christianity, that is Alexandria, Antioch, and Jerusalem, all sided with the Eastern (Greek Orthodox) Church. Rome did not recognize the position of these cities (except in a subordinate role) and the Orthodox Church did.
Rome was the last of the five major cities to become Christian. It was, however, the most powerful, first because it was the political capital of what was then the Roman Empire. Later, it became the religious "capital" of western Europe, serving France, Spain, Italy, Britain,and later Germany, that is, the "Holy Roman Empire."
The (Roman) Catholic church was the aggressor; that is, it was the first to challenge the legitimacy of the other (eastern) religious centers in the Christian hierarchy. Its attacks were directly mainly at Constantinople, but it was basically unfriendly to the other eastern cities as well.
As to why western Europeans would consent to a schism, their "mood" in the 11th century was one of "crusading." That is, they would rather fight, and impose their solutions by force, rather than negotiate a settlement. You can call it a chicken and egg argument, did the Schism bring about the crusading spirit, or vice-versa, but the two seemed to go together.