I also asked another question that you may have missed, but actually, it doesn't matter, because I think the field of medicine and psychotherapy are structured very differently. You can see that just by considering how you would go about infiltrating both.
If you wanted to unleash an Eastern medicine or medical practice in the West, there are several hurdles to jump. You would need FDA approval if we're talking abount medication. Even if you succeed in acquiring approval, you would need to find a distributor. The distributor would be concerned with sales and efficacym and efficacy turns on the question of empirical validation which again costs money and poses a major hurdle. Then, on top of everything, you have to worry about gigantic lawsuits which means even more testing and more resistance on the part of a company (or individual doctor) to adopt your idea or medicine.
On the other hand, lets imagine trying to introduce some type of therauptic technique. The regulatory restrictions are lax if not absent as long as you don't touch your patient or violate confidentiality. A therapeutic technique costs NOTHING to export and transmit since it's not anything physical. The product, in this case, therapy, can be offered to individual practitioners rather than major companies because major corporations aren't the only ones capable of offering therapy, both for practical and legal reasons. A therapist would have a much easier time accepting the technique, because the standard is more relaxed: it simply has to seem like a good idea to the therapist; psychotherapists (as well as their "consumers") aren't as dependent on empirical research as medicine is. Finally, litigation is really at a minimum in the field of psychotherapy, so there is less risk posed by making changes to one's therapeutic toolbox by incorporating new techniques.
It's too early, I think, to say whether therapists will take more interest in Eastern ideas than medical practitioners have. But, if you take a glance at your local Banes & Noble, many of the books featured in the Self Improvement section have an Eastern twist.