"We are still in the midst of the third major cooling period that began around 3 million years ago..."
So what you're saying is that this "major, 3Myr cooling period" has been stopped in its tracks and reversed in just a few centuries by non-existent global warming? It sounds like what we're having is not just a minor interruption, but a total reversal of a global mega cooling trend all within a few centuries. I didn't realize the situation was that bad.
You should read your references more carefully, they're saying the exact opposite of what you are.