Jung's Anima and Neurological Basis in Split-Brain Patients; Left-Persona and Right-Anima
Perhaps a more useful way of looking at these concepts is to consider anima in terms of the hindbrain, which takes sensory inputs from both the body and external stimuli and creates a virtual model strongly colored by memories ( with associated feelings) and our conditioning. This model is then "presented" to the forebrain as images + feelings. Animus could be seen then as associated with the forebrain, which analyzes this information and determines what actions to take.

However, such a way of thinking degenderizes the concepts, so won't support your hypothesis. 

Solms and Turnbull have written about the neuroscience (Solms &amp; Turnbull 2011) [among others], and James Hillman's "Anima: An Anatomy of a Personified Notion" is a good source on anima and animus. Hillman agrees that psychology should not pretend to be an objective science as the realm of the psyche eludes traditional methods of scientific study.

References

Solms, M., &amp; Turnbull, O. H. (2011). What is neuropsychoanalysis?.  Neuropsychoanalysis, 13(2), 133-145.
DOI: 10.1080/15294145.2011.10773670 [Free PDF Available]