We can see things moving faster than light

My grey matter just imploded.
I Need Your Help! Please ma'am give me some feedback 
So let's leave out the shift in spectrum of visible light outside of our perception and proceed by just saying light and try to leave the whole space time thing out of it.

I keep hitting a road block. At the point in distance that you were describing (37 billion light years or whatever) where the photons from our vantage point would in essence stop moving towards us seemingly stop and as the distance changes would then begin to move towards us once again. 
Here's my road block;
Then wouldn't there be a distance where our perception of the light at that moment or distance where the photons would be at a standstill?
Now if this is right, wouldn't this form a sphere that would only be light? Wouldn't there be a ghostly glowing that would be most difficult to see past?
Please let my know and provide me your insight!!! My silly brain cant see past this.