Interesting that shifts are in the <1IPC set; I thought those were fairly cheap with a barrel shifter; does this simply omit one for space purposes, or are they more expensive than I expect?
OP's CPU takes up around 400 LUTs. Since a 2:1 mux takes up 1 LUT (although it seems the numbers are for a LUT6-based device, which can take a 4:1 mux, so maybe that can make the amount a bit lower?), you would add 160 LUTs. That's quite a lot.
Unlike adders, a barrel shifter does not generalize well enough to be implemented as a hard block in its own right.