I too have the strabimus, in my left eye. It wanders so far afield from my right eye's focus, that during those times that it is acting up, which is more often than not, it is quite impossible for me to do much more than sit in my chair and watch TV, or listen to music, with the screen saver on beautiful scenery from webshots on my PC which is connected to my 40" LCD.
The worsening of my strabismus usually is followed by extreme episodes of my nerve maladies. Spasms throughout my body, facial, and eye pain (left side), neck, shoulder, arm, leg, foot, toe pain. This is the most compelling reason I suspect MS, in spite of the lack of visible plaque in my 2 MRI/MRA's.
I have been to 3 Ophthalmologists (The last one a Pediatric/Opthalmologist since this is usually a childhood malady, was specialized in Ambliopia or Strabismus) and they each defer to my Neuro for the dx, but they rule out the possibility of surgery to correct, due to the variable extremity of my wandering eye. I also have great sensitivity to light in my left eye (Ocular Photo-phobia, I believe they call it). The Ophthalmologists also have tried lenses with prisms to counteract, not correct this, and these measures too, are useless due to the variable nature of my malady.
Even with one eye closed, I have blurred and double vision, so it's not just double from the wandering eye. Because of specialty practice, it's rare that one Doctor will discuss outside his specialty, or god-forbid , consult another specialist.

I am like most here, looking for the Marcus Welby of Nerve disorders.