That all species can be placed into a nested hierarchy of life should be obvious to anyone who has studied biology. That all species share a common ancestor, through descent with modification, is not, in and of itself, contrary to Christian theology. However, a differentiation must be made between the fact and the theory of evolution.
While it may be accepted as fact that all species share a common ancestor, it is only theory that natural selection acting on genetic mutation is the primary force behind the evolutionary process. The fact is in the discovery of what happened, the theory is in the mechanism which explains the how and why. To the theistic mind, the explanations for how blind nature could be solely responsible for the complexity and diversity of life should not at all be compelling.
Given that God is within all things, at all times, we should not give heed to an evolutionary theory which undermines the presence and creative activity of God. Darwinists like Richard Dawkins have failed to realize, either through wilfull ignorance or spiritual blindness, that the evolutionary process does not, on its own, show that there is no Creator at work.
To the Western mindset, any involvement of God would require divine intervention. But if God is always immanent, then His involvement would not be an "intervention" if He's already here. In fact, if God were to remove His presence for one moment, the Creation itself would collapse. Ultimately, though we can accept the observation of common descent, it certainly didn't happen in the way that Richard Dawkins and others like him would describe.