I want to try and work out why people seem to disagree with this idea.
Its not obvious to me why they disagree.

There appears to be a concensus view on this list that eye muscle
control is from a single central point.

Dr Judy>>  Eye muscle motor control is from a single central point,
there may be damage in the motor nerve pathways to each eye, but the
control is central.

Andrew>>> What do you mean by a central point?  A single tiny point
without the  ability to differenitate and independantly control the
eyes?  That cannot be true.

Dr Judy>>Sorry, you are wrong.   Check any neuroanatomy and
neurophysiology text. The motor control of the two eyes is not
independent.  If it were, we would see double.

Lets look at some observations:

1. Human eyes have the ability to point precisely to an object by a
process called fovealisation.   Each object seen is precisely (or
should be) on the centre of the fovea.   To be aware of the gap between
the bars of a 20/20 letter E and move from one bar to the other
requires an eye movement of one minute of one degree.  Such examples of
precise eye movement are typical for a person with good vision - even
the moon seen from earth only occupies 0.52 Degrees of arc.

2. Fovealisation has to take account of what is seen on the retina
*and* what is desired to be seen on the retina.

3. Saccades are generally defined as being conjugate or exactly
similar.  Vergence movements can be unequal.   Different brain areas
seem to generate the two movements.

4. If you place a string on your nose 40 feet long you see a double
image of the string for the length of the string or until the limit of
your ability to separate out the strings.   Therefore you see double
from the near point to optical infinity, and can by choice decide which
part of the double image to resolve into a single image so that the
string forms a cross at that point.   There is no reflex which forces
you to decide where to see the cross.  Each fusion movement is by
conscious choice of what is attended to.

5. If the string position is moved so that it is held at the centre
point of the left eye then for all string positions where a cross is
seen (and assuming the string does not sag) only the right eye moves to
target the string.

So when people say "Eye muscle motor control is from a single central
point"  Baring in mind all of the above points, what exactly are they
meaning?  

Andrew