That is because add to wishlist is IN buy_now.tpl
Comment out this bunch of code:
Code:
{include file="buttons/add_to_wishlist.tpl" style="button" href="javascript:document.orderform_`$product.productid`_`$product.add_date`.mode.value='add2wl'; document.orderform_`$product.productid`_`$product.add_date`.submit()"}