Certainly I can prove that macroevolution has taken place, if by that you mean that natural selection and mutation take place, and that the change is gradual, and topologically continuous.
"A unique, historical phylogenic tree" -- this pretty much expresses that idea.
But where in that paper does it talk about actual testable predictions of the hypothesis: "all speciation came about as a result of mutation and natural selection with no other factors or forces"?
Each section has a "predictions" section. But notice that even if all these predictions come true 100% of the time, this does not rule out the possibility that new species of sexually reproducing organisms are created specially by God, much like new cars are created by humans, despite there being an observably continuous change through time.
http://www.talkorigins.org/faqs/comdesc/section5.html#specia...
Look at this. We are almost there, to what I am looking for. Are these "speciation events" fitting the "mating preference" criteria or "cannot produce fertile offspring" criteria? If the latter, I am satisfied!
That's just how the scientific method works. If you're looking for certainty, this isn't where you'll find it. Science can only tell us what we think is most likely to be true based on what we can observe.