Earth-centered Universe doesn't make sense to me, because, according to our current knowledge, the farthest parts of the Universe we can see move away from us at the speed close to the speed of light, and we aren't able to see far into the beyond. For all practical purposes, we can consider our current Universe infinite, and in an infinite space "center" doesn't exist.
Not to mention that this "axis of evil" is no evidence in support of Earth-centered universe theory.
Finally, the Earth IS the center of the Universe in the sense that the observable Universe around Earth is roughly a sphere. It would be a sphere for any observer, living on any planet, simply because they can only observe the Universe around them at a fixed radius, around 14 billion light years.
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Oh, and the biggest one: there is just zero evidence in support of that claim.