Interesting,
I am cross eyed although it isn't a strabismus. I passed the CASA and UK CAA/JAA class 1 medicals. It was a close thing though with the UK medical. The eye doctor spent a bit of time checking to see that I don't have double vision. If I had that then the medical may have been a fail.
If you can find an aviation savvy doctor and check your eyes thoroughly for this double vision I would do it.