Same quote:
For purposes of this section, “disturb or interfere with” includes removal of, damaging or defacing monuments or memorials, or, in the case of the War Between the States, the placement of Union markings or monuments on previously designated Confederate memorials or the placement of Confederate markings or monuments on previously designated Union memorials. [different emphasis -- C.R.C.]
Ah, so then the bit about removal doesn't apply to Civil War monuments. Remove away, Virginians!