I'm pretty sure I've read all of Watts' books, some of them several times, notably The Wisdom of Insecurity, which I absolutely love.
But the audio recordings have given me a fresh appreciation for how Watts viewed the world, or more broadly, reality. His spontaneous speech -- he spoke without notes -- offers a window into his mind that is clearer in some respects than his books provide.
So here's how you, or me, or anybody, can sound like Alan Watts in two easy steps.
(1) Look for complementary opposites, not just a favored perspective. Watts continually points out that up doesn't exist without down; black without white; life without death; truth without falsehood; figure without background; love without hate; and so on.
In this regard, as in many other regards, Watts is a thorough-going Daoist.
The yin-yang symbol encapsulates how opposites relate to each other. Within yin there's a bit of yang; within yang there's a bit of yin. Each can transform into the other, showing that there's no such thing as a stand-alone concept, even if we'd prefer that this were the case -- as in life somehow existing without death.
Everything is related to another thing that may appear to be distinct from the first thing, but which upon closer inspection is inseparable from it. There's no way we could see a white cloud if there wasn't blue sky providing a background. So clouds and sky really are one thing, not two.
(2) Look for organic naturalness, not controlled transcendence. Watts' speaking style illustrated this. He doesn't have an outline that he follows, a scripted speech. Instead, you can sense his mind darting this way, then that way, and back again, sort of like a jazz band riffing on a musical theme rather than a symphony playing a composer's sheet music.
Here too his viewpoint is Chinese/Daoist rather than Western/Abrahamic or Indian/Hindu. He doesn't consider that we humans are spiritual beings inhabiting a material world. Instead, we are natural beings inhabiting the natural world. There's no difference us between us and nature. Our job isn't to control nature, but to live in harmony with our fellow natural beings and entities.
A creator God has no place in his worldview. Nor does the notion that we are sinners, fallen souls, strangers in a strange land. What keeps us dissatisfied is the false idea that satisfaction lies somewhere other than the here-and-now we find ourselves in.