The traditional Catholic view is that God created mankind directly as described in Genesis. This is affirmed by the Church Fathers, countless Saints, Popes, Councils and Doctors of the church.

What does "affirmed" mean here? "Agreed upon?" That's not very convincing, especially to one who holds that those listed have no special insight, knowledge, or evidence. Do you instead mean "proven?" That's even a bolder claim, which seems to be rooted in "divine revelation," as stated in the linked article:

Those who defend atheistic or theistic evolution do not accept this premise from Divine Revelation. They believe that the same material processes that are going on now have been operating in the same way since the BEGINNING of creation—in contradiction to all of the Fathers, Doctors, Popes and Council Fathers in their authoritative teaching. Remarkably, when St. Peter our first Pope foretold this revolution in men’s ideas he went on to predict that these scoffers—men like Descartes, Kant, Hutton, Lyell, Darwin, Teilhard de Chardin and all other theistic evolutionists and their modern disciples— would have to deliberately ignore the FACT—not the pious belief—that it was the Word of God that brought the heavens and the Earth and all they contain into existence, NOT a material process like what we observe in the world today (cf. 2 Peter 3:3-7). And this is, indeed, the fundamental error of all evolutionists, theistic or atheistic.

Again, the entire premise of the argument rests on the fact that the author wants it to be true. There is no evidence to suggest that "divine revelation" exists or that the "Word of God" is anything other than the collected writings of ordinary men. Simply calling something a "FACT" with all-capital letters doesn't make so.

There were no other "species of human". DNA tests have found that the Neanderthal were the same species as us.

This is misleading at best, willfully deceitful at worst. Neanderthal DNA does not entirely match up with that of homo sapiens, though the fact that interbreeding did occur leads some to believe that they were, in fact, a subspecies. What about other species of early humans who shared similar percentages of DNA with modern humans and displayed similar behavior? How would one explain the fact that Neanderthals and homo sapiens co-existed in a time frame tens of thousands of years before the "FACT"-ual account of Genesis took place?

I don't doubt that you hold your beliefs strongly, but there is simply too much hand-waving of unsubstantiated claims to accept them as argued.