How can it be wrong to draw their prophet when there are no photographs of him...nobody knows what he looks like.
Actually, it sounds like officially all portraits of animated objects are against the faith,
http://www.cnn.com/2015/05/04/living/islam-prophet-images/
And this says images of Jesus and Moses.
And this below:
http://www.dailysabah.com/world/2015/01/14/why-muslims-reject-the-depiction-of-prophet-muhammad
So actually, painting say a Deer would be against their code.
It is also a relatively recent prohibition. There are many examples from the past, including even in US govt buildings, and European cathedrals, and islamic art.