i haven't seen wedges in basic pockets before, that being said:
i would design in a bit of space if you are planning on wedges(1/4?)
i would use the full 2" and fill the space or you will see a gap(take a second and round the back bottom corner of the wedge)
i would use a very small amount of taper and design the leading edge of your wedge slightly smaller than your gap, so that the wedge will be tight all the way down (3/32-3/8?)
you want to compress the fiber without destroying the fiber so it can still bounce back
i would use wood that resists rot, like oak.
i think a table saw would be hard to beat for cutting wedges...
-Mark.