Young Earth creationism (YEC) is the belief that the universe was created in six days, approximately 6,000 years ago, by God. It's a christian school. Muslims don't have such a belief. Muslims simply believe that Allah is the creator and that Adam was created from dust as a part of their Iman/belief. Again, every scientist don't have a problem with the scientific definition of evolution "change of allele frequency within time", but the problem is in the Neo-darwinian theory of the microbe-to-man evolution after the alleged abiogenesis occured spontaniously.
Edit: If there are certain claims/allegations in your mind now, you can present them here.