He talks about evolution being a perfectly good theory after the "Heavy lifting" has been done. Who's doing the heavy lifting? Could you provide a link to the interview? It's really hard to analyze out of context.
Are the hybrids new species? If they are does that demonstrate evolution? Is the camel/llama hybrid a new species?
Depends on where you draw the lines. Like I said, they can get blurry sometimes. In a very real sense this does demonstrate evolution, but it is too often dismissed as microevolution. Humans have, in a sense, been intentionally forcing dogs, horses, and other domestic animals to evolve for thousands of years through breeding programs. It's the same process, just that we decide the criteria for reproduction instead of natural selection.
After the chat, there was a question and answer period which is also informative(that is the source of the quote I posted). You should read the link Dr. Shapiro gives at the beginning of the chat in order to understand his position.
For all of the intelligent breeding of dogs, when all is said and done we end up with a dog, not a cat. It may be a strange looking dog,
but it is still a dog.