Physicists are increasingly moving away from the idea that the universe began at the Big Bang, which is precisely the notion conveyed throughout your post (which by the way has some repetitive ideas). They now think that the universe as such has always been eternal and that the Big Bang is more like an episode in its history, like "an early moment of time", as Sean Carroll puts it. The inflation of the universe began with the Big Bang, but the universe itself has always been out there.
Also, evolution has nothing to do with cosmology. When creationists conflate these issues they do so out of ignorance or denial of science.