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Oh, East Asia? East Asia can be inspiring, wonderful... and spiritually dangerous.
Like, the religions of East Asia like Buddhism, Tao or the like. They might share some points with Christianity/Taoism but they have errors. Like, Buddhism teaches reincarnation and it's a self-redeeming religion. The I Ching linked to Taoism is a divinatory tool and it was once utilized to support the 2012 theorem.
I've heard that Catholic and other Christian doctors should not sport yin-yang or zen gardens in their office.
I've read about the Chinese rites controversy and how Pope Pius XII deemed these rites only civil (upon getting a docuмent), not superstitious. (Though he said when it needed to attend superstitious rites, they should attend as an outsider. Catholics cannot participate in non-Christian religions.)
The Yin-yang is a symbol of dualism, which is incompatibile with the view that good should and is going to overcome evil. Even NO people have warned us about the dangers of Eastern spiritualism. For me, the Scripture, the Tradition and the Magisterium is enough, no need for mumbo-jumbo.
I attended karate classes years ago, and I was fascinated with Eastern spiritualism a bit. After some years that I left karate, in 2012, I read that karate can be dangerous for a Catholic or a Christian at all, especially the one that I practised, Kyokushin Karate. This type is considered more complex, but it has more spiritual stuff. I remember that we needed to do the Reis (greetings) at the start and the end of each session.
At Women of Grace blog (warning: NO site), you'll find a New Age section.

Thank you for your input in this thread.

I have not sufficiently studied Buddhism to have any thing but superficial comments on it. I do know that there are many points where Buddhist spirituality- in practice if not principle - is compatible with Catholicism. However I've always had a distaste for Buddhism, since I see it as a foreign intrusion that has made itself at home, rather like a parasite, in East Asia. However, the more I consider the topic of East Asia and the Faith, the more I realize that I'll need to seriously study Buddhism if I want to understand how the Church can evangelize the Orient in the future with better results that have been obtained in the past.

I'm not sure about the I-ching (nowadays rendered "Yi-jing") being used to support the 2012 theory, but as we've seen on this forum, many people have used Catholic sources to support 2012 doomsday theories as well. Now the I-ching is a very complex topic. It's very interesting that you bring it up. The fact is that the I-ching is a Confucian text, something that makes it even more interesting - considering it's content. On the surface it may seem to be a crude divination manual, however I strongly suspect that it is much more deep than that. Why else would Confucius towards the end of his life lament that if only he had an extension of his years he would devote it all to the study of the I-ching. This is coming from the founder of school of thought that has been the traditional proponent of rational, practical philosophy in an environment overflowing with superstition and mysticism. There are several books on the I-ching that I plan to study before I can make any comment deeper comments on it. It's a pity that many of these books that shed much light on these ancient and complex texts are not available in English.