I believe it would be important for you to understand what double vision is. The proper name is diplopia. There are two different types of Diplopia, monocular or binocular.
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In monocular diplopia, the double vision is caused by a condition within one or both eyes and does not resolve when one eye is covered.
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In binocular diplopia, the eyes are misaligned. Each eye sees a single image when working alone, as when one eye is covered, but when both eyes are open the brain perceives two adjacent images
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http://www.medicinenet.com/double_vi..._double_vision
What you appear to be describing is binocular.
There can be different causes for Diplopia (Thyroid Disease, Multiple Sclerosis, Myasthenia gravis, eye muscle problems, lens problems, and more)
http://www.webmd.com/eye-health/doub...osis-treatment
Obviously there are many issues to consider when dealing with a symptom such as Diplopia. Hopefully, your Drs. will be able to sort it all out soon.
Take care.