I am a behavioural optometrist and I will try and give you a balanced view on this.
Firstly, as I have not examined your child, everything I will say here is of a general nature and not specific advice for your child.
Ophthalmologists and behavioural optometrists have different philosophies on vision and treatment of visual dysfunctions. Ignoring causes due to diseases, we consider eye turns to be an adaptation to a visual problem. So the best treatment is to address the initial problem, rather than treat the symptom (the eye turn). What you have to be aware of is that surgery does not usually allow the eyes to work together, but often gives only a cosmetic cure. And as the original problem that caused the eye turn has not been addressed, then the eye turn often returns. It is not uncommon for a child to need multiple eye surgeries over time. Most ophthalmologists I know will tell parents this - I would ask your ophthalmologist about this if you haven't already.
Obviously my advice would be to see the behavioural optometrist, but as that may seem biased I will instead point you to some resources to allow you to make your own decision.
Please find this book and read it - you may have to order in from Amazon in the US:
Fixing My Gaze by Susan R. Barry, Oliver Sacks
There is a website about the book. It is written by a neuro-scientist who had eye surgery when young for an eye turn, and then had vision therapy when in her 40's. She had cosmetically straight eyes after her surgery, but did not have functional eye allignent (using both eyes together with binocular vision) until going through vision therapy. If nothing else, please read this book before doing anything else.
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