Would the human body react faster to touch or sight
A "touch" or "haptic" sensation will be much faster due to several reasons: 


Haptic feedback can be processed without the presence of any higher-order cognitive processing, therefore meaning that the signals are being processed via a monosynaptic route. 
There are short reflex arcs between the spinal cord and the limb (meaning that you can react before you are consciously aware of it)


A visual sensation will be much slower: 


The processing of the signal will require higher-order cognitive processing, and this takes time. I read that it takes between 50ms-200ms. (polysynaptic route)


Interesting article about this topic