I've done it on both sides of the fence.
I believe it's a misconception that having to move the fence is the less accurate way.
I do it now by setting my miter gauge's fence 1/16" away from the blade on the left side, then putting my piece up against it, setting the fence, then removing the miter gauge. Repeat for each cut.
If you still want to do it on the other side, I would do it this way, with a sliding fence:
http://www.woodmagazine.com/woodwork...p-ripping-jig/
The only thing I'd change about this jig is to make the 'foot' taller and longer and thicker. This will allow it to project to the left side of the blade and help push the waste side squarely thru the cut.
If your strips are short, like less than 20" or so, the most accurate and safest way is to use a crosscut sled with a stop block.