According to the article, Muslim Creationists tend to be "old earth" Creationists in contrast to the more Christian "young earth" Creationists, meaning most Muslim Creationists do not think the earth to be a mere 6000 years old. They have no real problem with geologists and astronomers who argue that the earth is billions of years old. But they do seem to have some problems with biologists:
They do not quarrel with astronomers and geologists, just biologists, insisting that life is the creation of God, not the happenstance consequence of random occurrences.
This, as with everything, varies from group to group and from country to country, but there is a growing presence everywhere in the Muslim world. What is interesting is that evolution is not totally excluded, but only HUMAN evolution:
For many Muslims, even evolution and the notion that life flourished without the intervening hand of Allah is largely compatible with their religion. What many find unacceptable is human evolution, the idea that humans evolved from primitive primates. The Koran states that Allah created Adam, the first man, separately out of clay.
All other life can evolve, it seems, except human beings who are created directly by God. For the information from country to country, check out the article.