
to remove Add To Cart button number 1 :
open your path
/app/design/frontend/rwd/default/template/wishlist/item/column/cart.phtml
or
/app/design/frontend/[yourtheme]/default/template/wishlist/item/column/cart.phtml
comment line 37
<?php if ($product->isSaleable()): ?>
<button type="button" title="<?php echo Mage::helper('core')->quoteEscape($this->__('Add to Cart')) ?>" onclick="addWItemToCart(<?php echo $item->getId()?>);" class="button btn-cart"><span><span><?php echo $this->__('Add to Cart') ?></span></span></button>
<?php else: ?>
becomes
<?php if ($product->isSaleable()): ?>
<!-- <button type="button" title="<?php //echo Mage::helper('core')->quoteEscape($this->__('Add to Cart')) ?>" onclick="addWItemToCart(<?php //echo $item->getId()?>);" class="button btn-cart"><span><span><?php //echo $this->__('Add to Cart') ?></span></span></button> -->
<?php else: ?>
to remove Add All To Cart button number 2 :
open your path
/app/design/frontend/rwd/default/template/wishlist/button/tocart.phtml
or
/app/design/frontend/[yourtheme]/default/template/wishlist/button/tocart.phtml
comment line 29
<?php if($this->getWishlist()->getItemsCount() && $this->getWishlist()->isSalable()): ?>
<button type="button" title="<?php echo Mage::helper('core')->quoteEscape($this->__('Add All to Cart')) ?>" onclick="addAllWItemsToCart()" class="button btn-add"><span><span><?php echo $this->__('Add All to Cart') ?></span></span></button>
<?php endif;?>
becomes
<?php if($this->getWishlist()->getItemsCount() && $this->getWishlist()->isSalable()): ?>
<!-- <button type="button" title="<?php //echo Mage::helper('core')->quoteEscape($this->__('Add All to Cart')) ?>" onclick="addAllWItemsToCart()" class="button btn-add"><span><span><?php //echo $this->__('Add All to Cart') ?></span></span></button> -->
<?php endif;?>

the final result

app/design/frontend/base/default/template/wishlist/button/tocart.phtml