Not just grave desecrators.
Confederate soldiers are American soldiers.
It is desecrating the graves of American soldiers.
Confederate soldiers are officially American Veterans by Act of Congress. By order of Public Law 85-425, May 23, 1958 (H.R. 358) 72 Statute 133 states (3) (e) for the purpose of this section, and section 433, the term veteran includes a person who served in the military or naval forces of the Confederate States of America during the Civil War, and the term active, military or naval service includes active service in such forces. A Confederate Veteran should therefore be treated with the same honor and dignity of any other American veteran.
Monuments to Confederate soldiers and symbols of their service, such as the battle flag, are presently being defaced or taken down due to alleged racism. A distinction should be made between bad use as by the shooter Dylan Roof and OK use as when flying at a southern soldier cemetery.