Re: Core, Yoga, Pilates
Try and read some of the work by Mike Boyle or Dr Stuart Mcgill.
I am sure your training will benefit greatly. I shudder when I read some of the programs on this site that advocate windmills, side bends, and explosive rotation. The strength world has changed and it is time that people changed with it.
You can find some of their stuff at http://www.t-nation.com
or at Mikes site http://www.strengthcoach.com
The later is a pay site, worth it many times over.
Here are some links to get you started.
Hope this helps