If light is like "stars," then light is corpuscular, and it is not in waves. The Big Bang theory would then be incorrect, because it is completely based on the wave theory of light. (Redshift remains a valid measure of distance, but it does not also indicate radial velocity. It might be explained with a simple theory that light loses energy as it travels, or a "dying light" theory.)
If there is no evidence for the Big Bang, then there is no reason to deny what every person intuitively knows to be true--that the universe is infinite, without beginning or end.
Surveys of galaxies in the known universe have shown that galaxies form what appears to be a hexagonal grid. This is easily explained in an "atom" theory of galaxies, since atoms regularly form repeating grids, or crystal lattices. Galaxy "groups" may correspond to "molecules" of galaxies. Consider this image of galaxy group M81 in the radio spectrum for example, which shows what appears to be one large galaxy and two smaller galaxies in a triangular formation as well as two smaller galaxies in between. The galaxies even appear to be "connected" by fluid-like streams, which may indicate a form of "chemical bonding." The "Local Group" of galaxies contains only three large galaxies (the Milky Way and its neighbor Andromeda, which are thought to be close in size; and the Triangulum galaxy). Each of the larger galaxies contains many smaller dwarf galaxies. Dwarf galaxies are generally the same size, and they probably correspond to "neutrons." By counting the number of dwarf galaxies in a galaxy, and by comparing its size relative to other galaxies, we can determine its "element." By comparing the geometry of galaxy groups to known molecular geometries, we can determine their "molecules."