The idea that all life on earth evolved from single celled organisms is the prevailing scientific view. Asking where that first single cellular life form originated is where it gets more entertaining, but let's set that issue aside for the moment. There are various levels to which this idea of evolution is seen to conflict with the biblical worldview, in regards to time spans and divine intervention, but the 'theory of natural selection,' or 'survival of the fittest' is a fairly agreed upon idea, regardless of what degree you might believe it might have impacted the resulting life forms we currently find on earth. But if you believe that that principle is responsible for 'all order and advanced life on the planet,' that should only strengthen the value that you have for the principle.
But the logical conclusions of any belief that 'survival of the fittest' has been the primary mechanism that drove development of all life on earth are in stark contrast to the values that most people who hold that belief espouse. Just to be clear, I am not necessarily in support of any of these ideas, I am just pointing out that they are the logical conclusions of the idea that the theory of natural selection is responsible for the undirected development of life on the planet, and therefore all biological order.
First off, the endangered species list should be hugely offensive to anyone who believes that advanced life developed by the less suitable variants dying off. By protecting less well adapted animals (or plants) we are weakening the entire ecosystem and planet. If they can adapt to survive in the changing conditions, great. If not, the planet is apparently better of without them. But to try to modify the environment to better suit their needs, would be the height of sabotage of the evolutionary development process.
Regarding humans, healthcare should be relatively minimal if it existed at all. It is imperative that the weak and sick die off, ideally before they have the opportunity to reproduce. This strengthens the species as a whole. So the logical course of action would be to refuse to date or sleep with anyone with any identifiable defect of any sort. This would be especially important for females as they have fewer reproduction opportunities, while males aren't as negatively impacted if one of their offspring is from a genetically inferior partner. I hesitate to point this out, as we are seeing this beginning to actually happen in Europe with the increasing popularity of euthanasia, but it needs to be discussed in its most extreme forms to highlight what we are really dealing with. Any form of mercy stands in opposition to the cold ruthless process of natural selection.
And then there is the issue of race. Among humans, the theory of natural selection is basically a justification for 'might makes right.' If you have the strength to dominate someone else, you can justify doing so for the good of the planet. If one culture is particularly dominant, then it must be the stronger option, and the propagation of those ideas and values at the expense of other cultures is for the good of the planet. It appears historically that over the past 500 years, white Caucasian cultures have developed the technology and means to colonize and subjugate most of the rest of the world, specifically Africa, Asia, and the Americas. It each of these places, the existing inhabitants were marginalized by the stronger newcomers, and their land and resources shifted to be exploited in new and more effective ways. In America the native peoples were nearly wiped out, and have been nearly entirely replaced with decedents of the Europeans. The peoples of Africa and Asia are still numerous, but have largely adopted European methods of achieving success. Colonization was by no means perfect, but it is today viewed as an unpardonable sin, while 'natural selection' would indicate that it is a moral good. It cleanses the planet of less effective and efficient cultures and civilizations, and assimilates what is left into the 'superior' system.
It would be more logical for Christians to have a more mercy-based social justice and environmental view, and for atheistic evolutionists to want to see natural selection run its course without intervention. But that is not what we see, in regards to the strongest supporters of protecting endangered species being biologists. And the view that evangelizing to foreign peoples is a form of erasing their culture is primarily held by atheists who should see the process of dominant ideas replacing weaker ones as a positive step in the process of strengthening civilization as a whole. Artificially propping up weaker species or cultures would weaken the entire planet and hinder further development and progress.
The converse proposition is not necessarily as hypocritical, because if you don't believe natural selection is the primary mechanism driving the development of life on earth, you are free to hold all sorts of different values about life, and various Christians do.