Magento – How to remove the Add to Cart button from Wishlist based on specific products

Add to Wishlist:

<a href="<?php echo $this->helper('wishlist')->getAddUrl($_product) ?>" class="link-wishlist"><?php echo $this->__('Add to Wishlist') ?></a>

Remove:

<?php 
$_wishlistItem = Mage::getModel('wishlist/item')->loadByProductWishlist(
     $this->helper('wishlist')->getWishlist()->getId(),
     $_product->getId(),
     $_product->getStoreId()
);
$_wishlistRemoveUrl = $this->helper('wishlist')->getRemoveUrl($_wishlistItem); ?>
<a href="<?php echo $_wishlistRemoveUrl ?>" class="link-wishlistz"><?php echo $this->__('Remove from Wishlist') ?></a>

I have Edited your code it should help you,Edited two lines in phtml

    <a class="remove_wishlist"style="display:none" title="<?php echo $this->__('Remove Product from Wishlist?') ?>" href="<?php echo $_wishlistRemoveUrl ?>" class="link-wishlist link-wishlist-remove fill">
                <img src="<?php echo $this->getSkinUrl("images/wishlistico_fill.png") ?>" class="img-responsive"/>
            </a>                                        
        <?php }else{ ?>
            <a class="add_wishlist" style="display:block" title="<?php echo $this->__('Add to Wishlist') ?>" href="#" onclick='ajaxWishlist("<?php echo $this->helper('wishlist')->getAddUrl($_product) ?>","<?php echo $_product->getId()?>");return false;' class="link-wishlist">
                <img id="wishlist_img" src="<?php echo $this->getSkinUrl('images/productWishList.png');?>" class="img-responsive"/>
            </a>


and in ajax added two lines

 if(data.status == 'ERROR'){
                console.log(data.messasge)
                messageBox.warn(data.message, {
                    life: 2
                });
            }else{
                jQuery('.add_wishlist').hide();
                jQuery('.remove_wishlist').show();
                messageBox.growl(data.message, {
                    life: 2
                });
            }

You can take idea with this code.