It may come to some as a surprise, but Creationists and Evolutionists have the same evidence, but because of the difference in theoretical systems the interpretations are different. These two theoretical systems, have different assumptions forming their foundation.
In both cases these basic assumptions are not subject to change, but when the same Evidence is put through each of these theoretical systems, they result in scientific theories, that are testable and subject to change with additional data. The results will often be different, but evidence is the same.