I want to test two 3D oriented bounding box objects against each other and stop them if there is a hit detected.
How can I accomplish this using only the collision detection functions in the Bullet physics API?
Bullet comes with many demos, some of them just show or uses exactly what you want to achieve.
I suggest to have a look at the Bullet demos.
The demos folder should be right in the root of the Bullet source code.
You can browse the code online here https://code.google.com/p/bullet/source/browse/#svn%2Ftrunk