The cart display code is on the cart.php page. it is the code in the MainContent editable region.
open the cart .php page, in code view, find the MainContenteditabel region:
<!-- InstanceBeginEditable name="MainContent" -->
select all of the code from the begining of the editabel region, to the end of the ediabel region:
<!-- InstanceEndEditable -->
and delete it.
By "on top of" I mean in addition to.
If you do not wish to use the UPS or fed Ex rate look up, you can disable it in the WA_Globals.php file:
$WAGLOBAL_Shipping_Enabled = false;