Interesting question 
As I view it, thinking is also a type of movement, but it only happens in mental space. It could be that the movement command to subcortical regions is suppressed to just simulate movement in mental space (like when you imagine walking into the next room without actually doing it).
If the thinking is abstract enough (like thinking about governmental systems) it is hard to imagine what a corresponding physical movement could be so potentially at high levels in the hierarchy, a lot of movement always happens in mental space. But there is still movement. We usually still structure our knowledge in reference frames and have an idea about how two concepts relate to each other and how you can conceptually move between them. How this kind of movement is learned and how it relates to physical movement is still something we actively discuss in our research meetings so this is still speculative.
-Viviane
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