I have heard this evolution versus adaption/assimilation/conformation argument before, from a very religious person. Their idea is that evolution may be happening on a small and limited scale, but no further than that. They don't want to think about the more long-term and general implications of the theory. That is - if small adaptations can occur over a few years, what might happen over millions of years?
Assuming the earth is only 6,000 years old there isn't enough time for animals to evolve. All that can be seen are some minor "adaptations".