In terms of the "evidence" of creationism versus evolution, let's take a quick took.
Creationism:
The evidence for this is mostly self-proclaimed. It is by the understood nature of the bible, by believers, that provides the most evidence for your theory. In a sense, because you believe in both God and his work (the bible), that is the foundation of your "evidence". All indications of nature pointing towards a difference set of ground rules must be dismissed because they violate the self-proclaimed perfectness of the creationist theory. Your evidence is your revelation and your faith. I can challenge neither. The reasoning is deductive from the Bible.
Evolution:
Evidence is based on observation, or better, many many observations. Through these observations, a best-case is made to understand why those occurances exist. That best case, today, is evolution.
Genetic Mutation, fossil records, changes in the environment of the earth. Those are the ground rules evolution uses to explain what happens. Yes, it is a theory, but it is derived inductively from the observations we can make. Most importantly, those observations can be repeated by anyone and at any time. If I went to Galapogos today, I would see the same specialization of bird beaks Darwin observed 150 years ago.
Creationists like to make use the alleged recantation of Darwin to prove evolution is wrong. However, that is irrelevant because anyone can reproduce the same observations and come to the same conclusion. If Newton said gravity was false on his deathbed, would his conclusions be anymore false? Darwin based his theory on observations we can repeat, not a relevation I cannot experience.
By comparison, if your beloved Paul, in a last letter to be unearthed in the coming years, recants his belief in Christ and all his letters, your faith fails. Even better, if the author of Genesis were to recant, then creationism fails ON ITS FACE.
There is no way to have the same experiences and observations that led to those conclusions of creationism. That is not the case with evolution.