This line in customer/main/products_t.tpl displays the image "see details"
<a href="product.php?productid={$products[product].productid}&cat={$cat}&page={$navigation_p age}"><img src="{$ImagesDir}/details.gif" alt="{$lng.lbl_see_details}" /></A>
Just put {* *} around it to comment it out save and refresh page .. see it that give you what you want.