It is not so surprising that the two ideas go together, and are advocated by the same folks. From Wiki:
Modern geocentrism is a belief currently held by certain groups that the Earth is the center of the universe and does not move. The prime motivating factor for the modern belief, as opposed to the geocentrism of Ptolemy, is explicitly religious.Advocates generally argue that literal interpretations of certain Biblical passages demand that the Earth be properly described as being the center of the universe. Alternatively, in the case of Catholic geocentrists, scripture authoritatively interpreted by statements of Church Fathers and various Popes is used to justify their belief, even though this viewpoint is no longer endorsed by the Church itself. The geocentrist view is contradicted by modern cosmology, and by the Copernican principle and the theory of general relativity, which together imply that the universe has no center.
Haven’t you heard, Capernicus agrees with us:
“We therefore assert that the center of the Earth, carrying the Moon’s path, passes in a great circuit among the other planets in an annual revolution around the Sun; that near the Sun is the center of the Universe; and that whereas the Sun is at rest, any apparent motion of the Sun can be better explained by motion of the Earth.”
—Copernicus, N., De Revolutionibus Orbium Caelestium, Johannes Petreius, Nuremberg, Book I, Chapter 10, 1543