Evolution v Creationism

[Lemur]

When we say evolutionary theory is testable and falsifiable, we say that it is so because of claims it makes such as humans and apes evolved from some common ancestor.

Not exactly. Evolution is a process, not a description of the world. You can test the evolutionary process with a jar full of fruit flies. It's tested every day in pharmaceutical companies. It's the law of the land. If viruses were not capable of evolving, drug companies would be in very bad shape, indeed. One antibiotic would do us for the rest of eternity.

The notion that we emerged from a common ancestor with the great apes is a logical thought once you've accepted evolutionary theory, but the theory itself is pretty neutral on the subject. If it turned out that we evolved from, say, stingrays, evolutionary theory would be fine with that. Or if we uncovered evidence that homo sapien had been around much longer than previously thought, this would do nothing to discredit the theory,

We don't apply the testability criterion to the metaphysical assumptions it holds such as naturalism or the commitment to an existence of a mind independent world.

Um, because evolutionary theory makes no "commitment to an existence of a mind independent world," whatever that happens to mean. Evolutionary theory is neutral, in much the same way that gravitational theory is neutral. Understanding any of these theories isn't predicated on any particular worldview or religious/atheist positioning. Theism and scientific theory are perfectly compatible.

Creationism (here used in the young earth sense we see here in America by certain Christian groups) makes many empirical claims. Claims about the age of the earth, the existence of an global flood, the cohabitation of certain species. All of these are fully testable and falsifiable (in fact some would say that they have been tested and falsified).

I have never, ever seen a young Earth creationist respond to evidence that contradicts the young Earth claim. At least, not in print, and certainly not in a peer-reviewed environment.

Making creationism out to be something that is not in the league of evolutionary theory is incorrect.

Disagree. Discussions with young Earth creationists inevitably lead back to a holy text and faith, ares that a scientific theory cannot and does not attempt to compete. The two are incompatible.