Tango, A counter top is typically one sheet of 3/4" particle board with 2" or so strips around the perimiter, so the edge that you normally would screw into for the DW is 1 1/2" thick, the rest is 3/4".
You may be able to just screw into the bottom of the counter a little further over from the origional spot, through a different part of the strap.
GUN CONTROL, I GOT THAT
"I pledge allegiance to the flag of the United States of America, and to the republic for which it stands, one nation under God, indivisible, with liberty and justice for all."
The two enemies of the people are criminals and government, so let us tie the second down with the chains of the Constitution so the second will not become the legalized version of the first. Thomas Jefferson