There is no universal belief among Muslims regarding the issue of old vs new Earth (i.e. Earth created 4.5 billion years ago as a consequence of the Big Bang, with life developing via Evolution (a mechanism for doing so, created by Allah) vs Earth created 6,000 years by special creation, and life being poofed into existance as is, by Allah). Both camps have adherants.
Many Muslims - I believe our own SkyPlus among them - accept evolution by means of natural selection, except in the case of Homo sapiens who definitely are not related to the other primates, even though they are and it can be demonstrated scientifically. Fewer accept that humans arose via the generally accepted position of evolution from a hominid ancestor.