Hillary possible suffers from multiple sclerosis! Dysconjugate gaze palsy is one of the characteristics of MS, due to Internuclear Ophthalmoplegia, which results from a demyelinating lesion in the Median Longitudinal Fasciculus. That would explain her ataxia as well. As for Parkinsonism, the two are not mutually exclusive, as they may be comorbidities.
Bill Singer, M.D.